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10100401552332 = 223271325791195483
BaseRepresentation
bin1001001011111010111011…
…0110001011101111001100
31022202120220100110120022200
42102332232312023233030
52310441110244133312
633252021014441500
72061505236431310
oct222765666135714
938676810416280
1010100401552332
1132446133a5353
121171638063290
13583604c00ca0
1426cc0d639b40
15127b0454b0dc
hex92faed8bbcc

10100401552332 has 144 divisors (see below), whose sum is σ = 31435682154240. Its totient is φ = 2662807042944.

The previous prime is 10100401552321. The next prime is 10100401552349. The reversal of 10100401552332 is 23325510400101.

10100401552332 is a `hidden beast` number, since 1 + 0 + 100 + 4 + 0 + 1 + 5 + 523 + 32 = 666.

It is a super-2 number, since 2×101004015523322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100401552296 and 10100401552305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7851063 + ... + 9046545.

Almost surely, 210100401552332 is an apocalyptic number.

10100401552332 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 10100401552332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717841077120).

10100401552332 is an abundant number, since it is smaller than the sum of its proper divisors (21335280601908).

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

10100401552332 is a wasteful number, since it uses less digits than its factorization.

10100401552332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198092 (or 1198087 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10100401552332 its reverse (23325510400101), we get a palindrome (33425911952433).

The spelling of 10100401552332 in words is "ten trillion, one hundred billion, four hundred one million, five hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 2579 3276 5158 7737 10316 15474 18053 23211 30948 33527 36106 46422 54159 67054 72212 92844 100581 108318 134108 162477 201162 216636 234689 301743 324954 402324 469378 603486 649908 704067 938756 1195483 1206972 1408134 2112201 2390966 2816268 3586449 4224402 4781932 7172898 8368381 8448804 10759347 14345796 15541279 16736762 21518694 25105143 31082558 33473524 43037388 46623837 50210286 62165116 75315429 93247674 100420572 108788953 139871511 150630858 186495348 217577906 279743022 301261716 326366859 435155812 559486044 652733718 979100577 1305467436 1958201154 3083150657 3916402308 6166301314 9249451971 12332602628 18498903942 21582054599 27748355913 36997807884 40080958541 43164109198 55496711826 64746163797 80161917082 86328218396 110993423652 120242875623 129492327594 160323834164 194238491391 240485751246 258984655188 280566709787 360728626869 388476982782 480971502492 561133419574 721457253738 776953965564 841700129361 1122266839148 1442914507476 1683400258722 2525100388083 3366800517444 5050200776166 10100401552332