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11023111553104 = 247419072646641
BaseRepresentation
bin1010000001101000010010…
…1001100000000001010000
31110000210120121010012222201
42200122010221200001100
52421100313024144404
635235540400212544
72215251660143530
oct240320451400120
943023517105881
1011023111553104
11356a96a110922
1212a042990a154
1361c623640471
142a1742bc14c0
15141b0a6a1ca4
hexa0684a60050

11023111553104 has 80 divisors (see below), whose sum is σ = 25031220149376. Its totient is φ = 4603883212800.

The previous prime is 11023111553071. The next prime is 11023111553117. The reversal of 11023111553104 is 40135511132011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 2841624 + ... + 5488264.

Almost surely, 211023111553104 is an apocalyptic number.

11023111553104 is a gapful number since it is divisible by the number (14) 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 11023111553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12515610074688).

11023111553104 is an abundant number, since it is smaller than the sum of its proper divisors (14008108596272).

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

11023111553104 is a wasteful number, since it uses less digits than its factorization.

11023111553104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647604 (or 2647598 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 11023111553104 its reverse (40135511132011), we get a palindrome (51158622685115).

The spelling of 11023111553104 in words is "eleven trillion, twenty-three billion, one hundred eleven million, five hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 907 1148 1814 2296 3628 4592 6349 7256 12698 14512 25396 37187 50792 74374 101584 148748 260309 297496 520618 594992 1041236 2082472 2646641 4164944 5293282 10586564 18526487 21173128 37052974 42346256 74105948 108512281 148211896 217024562 296423792 434049124 759585967 868098248 1519171934 1736196496 2400503387 3038343868 4801006774 6076687736 9602013548 12153375472 16803523709 19204027096 33607047418 38408054192 67214094836 98420638867 134428189672 196841277734 268856379344 393682555468 688944472069 787365110936 1377888944138 1574730221872 2755777888276 5511555776552 11023111553104