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100411321330112 = 26131728872459029
BaseRepresentation
bin10110110101001011010101…
…001000111010100111000000
3111011112020011121222001120012
4112311023111020322213000
5101130114341230030422
6553320154010204052
730102323101564502
oct2665132510724700
9434466147861505
10100411321330112
1129aa322519a441
12b318478423628
134404993137390
141ab1d1080bd72
15b91de007b4e2
hex5b52d523a9c0

100411321330112 has 112 divisors (see below), whose sum is σ = 227282123194560. Its totient is φ = 43602461540352.

The previous prime is 100411321330097. The next prime is 100411321330153. The reversal of 100411321330112 is 211033123114001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39604214 + ... + 42063242.

It is an arithmetic number, because the mean of its divisors is an integer number (2029304671380).

Almost surely, 2100411321330112 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 100411321330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113641061597280).

100411321330112 is an abundant number, since it is smaller than the sum of its proper divisors (126870801864448).

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

100411321330112 is a wasteful number, since it uses less digits than its factorization.

100411321330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461958 (or 2461948 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 100411321330112 its reverse (211033123114001), we get a palindrome (311444444444113).

The spelling of 100411321330112 in words is "one hundred trillion, four hundred eleven billion, three hundred twenty-one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 2887 3536 5774 7072 11548 14144 23096 37531 46192 49079 75062 92384 98158 150124 184768 196316 300248 392632 600496 638027 785264 1200992 1276054 1570528 2401984 2459029 2552108 3141056 4918058 5104216 9836116 10208432 19672232 20416864 31967377 39344464 40833728 41803493 63934754 78688928 83606986 127869508 157377856 167213972 255739016 334427944 511478032 543445409 668855888 1022956064 1086890818 1337711776 2045912128 2173781636 2675423552 4347563272 7099216723 8695126544 14198433446 17390253088 28396866892 34780506176 56793733784 92289817399 113587467568 120686684291 184579634798 227174935136 241373368582 369159269596 454349870272 482746737164 738318539192 965493474328 1476637078384 1568926895783 1930986948656 2953274156768 3137853791566 3861973897312 5906548313536 6275707583132 7723947794624 12551415166264 25102830332528 50205660665056 100411321330112