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2115333331232 = 251131556334847
BaseRepresentation
bin11110110010000011101…
…100010001100100100000
321111020001012212010101112
4132302003230101210200
5234124200313044412
64255434250322452
7305553634434122
oct36620354214440
97436035763345
102115333331232
11746120578660
122a1b70a29428
1312462398ac74
1474550103212
153a058421722
hex1ec83b11920

2115333331232 has 96 divisors (see below), whose sum is σ = 4690690228224. Its totient is φ = 930304569600.

The previous prime is 2115333331151. The next prime is 2115333331247. The reversal of 2115333331232 is 2321333335112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60686033 + ... + 60720879.

It is an arithmetic number, because the mean of its divisors is an integer number (48861356544).

Almost surely, 22115333331232 is an apocalyptic number.

2115333331232 is a gapful number since it is divisible by the number (22) 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 2115333331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345345114112).

2115333331232 is an abundant number, since it is smaller than the sum of its proper divisors (2575356896992).

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

2115333331232 is a wasteful number, since it uses less digits than its factorization.

2115333331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40462 (or 40454 counting only the distinct ones).

The product of its digits is 29160, while the sum is 32.

Adding to 2115333331232 its reverse (2321333335112), we get a palindrome (4436666666344).

The spelling of 2115333331232 in words is "two trillion, one hundred fifteen billion, three hundred thirty-three million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 5563 10912 11126 22252 34847 44504 61193 69694 89008 122386 139388 172453 178016 244772 278776 344906 383317 489544 557552 689812 766634 979088 1080257 1115104 1379624 1533268 1896983 1958176 2160514 2759248 3066536 3793966 4321028 5518496 6133072 7587932 8642056 11882827 12266144 15175864 17284112 23765654 30351728 34568224 47531308 60703456 95062616 190125232 193853861 380250464 387707722 775415444 1550830888 2132392471 3101661776 4264784942 6009469691 6203323552 8529569884 12018939382 17059139768 24037878764 34118279536 48075757528 66104166601 68236559072 96151515056 132208333202 192303030112 264416666404 528833332808 1057666665616 2115333331232