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231522101440112 = 247173725409129341
BaseRepresentation
bin110100101001000101110000…
…100111010010111001110000
31010100202022000022201102221002
4310221011300213102321300
5220321224230432040422
62140223441325021132
766523630334542040
oct6451056047227160
91110668008642832
10231522101440112
1167851a7654887a
1221b7264b3b47a8
139c25595992832
144125a2da65720
151bb764b6cc692
hexd291709d2e70

231522101440112 has 160 divisors (see below), whose sum is σ = 557509175879040. Its totient is φ = 90858812866560.

The previous prime is 231522101440087. The next prime is 231522101440117. The reversal of 231522101440112 is 211044101225132.

It is a super-2 number, since 2×2315221014401122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231522101440117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789948562 + ... + 1790077902.

It is an arithmetic number, because the mean of its divisors is an integer number (3484432349244).

Almost surely, 2231522101440112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231522101440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278754587939520).

231522101440112 is an abundant number, since it is smaller than the sum of its proper divisors (325987074438928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231522101440112 is a wasteful number, since it uses less digits than its factorization.

231522101440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154819 (or 154813 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 231522101440112 its reverse (211044101225132), we get a palindrome (442566202665244).

The spelling of 231522101440112 in words is "two hundred thirty-one trillion, five hundred twenty-two billion, one hundred one million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 56 68 74 112 119 136 148 238 259 272 296 476 518 592 629 952 1036 1258 1904 2072 2516 4144 4403 5032 8806 10064 17612 25409 35224 50818 70448 101636 129341 177863 203272 258682 355726 406544 431953 517364 711452 863906 905387 940133 1034728 1422904 1727812 1810774 1880266 2069456 2198797 2845808 3023671 3455624 3621548 3760532 4397594 4785617 6047342 6580931 6911248 7243096 7521064 8795188 9571234 12094684 13161862 14486192 15042128 15391579 15982261 17590376 19142468 24189368 26323724 30783158 31964522 33499319 35180752 38284936 48378736 52647448 61566316 63929044 66998638 76569872 81355489 105294896 111875827 123132632 127858088 133997276 162710978 223751654 246265264 255716176 267994552 325421956 447503308 535989104 569488423 650843912 895006616 1138976846 1301687824 1790013232 2277953692 3286425469 4555907384 6572850938 9111814768 13145701876 23004978283 26291403752 46009956566 52582807504 55869232973 92019913132 111738465946 121597742353 184039826264 223476931892 243195484706 368079652528 391084630811 446953863784 486390969412 782169261622 851184196471 893907727568 972781938824 1564338523244 1702368392942 1945563877648 2067161620001 3128677046488 3404736785884 4134323240002 6257354092976 6809473571768 8268646480004 13618947143536 14470131340007 16537292960008 28940262680014 33074585920016 57880525360028 115761050720056 231522101440112