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11021100020874 = 2336176910634093
BaseRepresentation
bin1010000001100000110011…
…0000000111010010001010
31110000121101102001210112000
42200120030300013102022
52421032203101131444
635235005022131430
72215151063331216
oct240301460072212
943017342053460
1011021100020874
11356a027707999
12129bb68120b76
1361c392988cc8
142a15d19a3946
15141a3dcb2469
hexa060cc0748a

11021100020874 has 128 divisors (see below), whose sum is σ = 24954744460800. Its totient is φ = 3604500725760.

The previous prime is 11021100020873. The next prime is 11021100021031. The reversal of 11021100020874 is 47802000112011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11021100020873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2692668372 + ... + 2692672464.

It is an arithmetic number, because the mean of its divisors is an integer number (194958941100).

Almost surely, 211021100020874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021100020874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477372230400).

11021100020874 is an abundant number, since it is smaller than the sum of its proper divisors (13933644439926).

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

11021100020874 is a wasteful number, since it uses less digits than its factorization.

11021100020874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 11021100020874 its reverse (47802000112011), we get a palindrome (58823100132885).

The spelling of 11021100020874 in words is "eleven trillion, twenty-one billion, one hundred million, twenty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 769 1063 1098 1538 1647 2126 2307 3189 3294 4093 4614 6378 6921 8186 9567 12279 13842 19134 20763 24558 28701 36837 41526 46909 57402 64843 73674 93818 110511 129686 140727 194529 221022 249673 281454 389058 422181 499346 583587 749019 817447 844362 1167174 1266543 1498038 1634894 1750761 2247057 2452341 2533086 3147517 3501522 4350859 4494114 4904682 6295034 6741171 7357023 8701718 9442551 13052577 13482342 14714046 18885102 22071069 26105154 28327653 39157731 44142138 49864267 56655306 78315462 84982959 99728534 117473193 149592801 169965918 191998537 234946386 265402399 299185602 383997074 448778403 530804798 575995611 796207197 897556806 1151991222 1346335209 1592414394 1727986833 2388621591 2692670418 3345810571 3455973666 4777243182 5183960499 6691621142 7165864773 10037431713 10367920998 14331729546 20074863426 30112295139 60224590278 90336885417 180673770834 204094444831 408188889662 612283334493 1224566668986 1836850003479 3673700006958 5510550010437 11021100020874