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10311131022312 = 2333161971233983
BaseRepresentation
bin1001011000001011111101…
…0011010100001111101000
31100111201211110010210122010
42112002333103110033220
52322414144020203222
633532511310355520
72112645303402021
oct226027723241750
940451743123563
1010311131022312
113315a2071910a
1211a6448abbba0
1359a449097663
142790c06c9c48
1512d33992280c
hex960bf4d43e8

10311131022312 has 128 divisors (see below), whose sum is σ = 27073558609920. Its totient is φ = 3268260576000.

The previous prime is 10311131022301. The next prime is 10311131022317. The reversal of 10311131022312 is 21322013111301.

10311131022312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10311131022317) 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, 43950873 + ... + 44184855.

It is an arithmetic number, because the mean of its divisors is an integer number (211512176640).

Almost surely, 210311131022312 is an apocalyptic number.

10311131022312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311131022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536779304960).

10311131022312 is an abundant number, since it is smaller than the sum of its proper divisors (16762427587608).

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

10311131022312 is a wasteful number, since it uses less digits than its factorization.

10311131022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235055 (or 235051 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10311131022312 its reverse (21322013111301), we get a palindrome (31633144133613).

The spelling of 10311131022312 in words is "ten trillion, three hundred eleven billion, one hundred thirty-one million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 971 1464 1891 1942 2913 3782 3884 5673 5826 7564 7768 11346 11652 15128 22692 23304 30101 45384 59231 60202 90303 118462 120404 177693 180606 233983 236924 240808 355386 361212 467966 473848 701949 710772 722424 935932 1403898 1421544 1836161 1871864 2807796 3672322 5508483 5615592 7253473 7344644 11016966 14272963 14506946 14689288 21760419 22033932 28545926 29013892 42818889 43520838 44067864 57091852 58027784 85637778 87041676 114183704 171275556 174083352 227197493 342551112 442461853 454394986 681592479 884923706 908789972 1327385559 1363184958 1769847412 1817579944 2654771118 2726369916 3539694824 5309542236 5452739832 7043122283 10619084472 13859047073 14086244566 21129366849 27718094146 28172489132 41577141219 42258733698 55436188292 56344978264 83154282438 84517467396 110872376584 166308564876 169034934792 332617129752 429630459263 859260918526 1288891377789 1718521837052 2577782755578 3437043674104 5155565511156 10311131022312