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20100000032 = 257715572269
BaseRepresentation
bin10010101110000011…
…011010100100100000
31220212210200210111122
4102232003122210200
5312131100000112
613122300431412
71311045116120
oct225603324440
956783623448
1020100000032
118584a20582
123a8b548568
131b8431b458
14d896b6c80
157c9920872
hex4ae0da920

20100000032 has 96 divisors (see below), whose sum is σ = 45964558080. Its totient is φ = 8473973760.

The previous prime is 20099999981. The next prime is 20100000047. The reversal of 20100000032 is 23000000102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 20099999965 and 20100000019.

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, 8857394 + ... + 8859662.

It is an arithmetic number, because the mean of its divisors is an integer number (478797480).

Almost surely, 220100000032 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 20100000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982279040).

20100000032 is an abundant number, since it is smaller than the sum of its proper divisors (25864558048).

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

20100000032 is a wasteful number, since it uses less digits than its factorization.

20100000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 20100000032 its reverse (23000000102), we get a palindrome (43100000134).

The spelling of 20100000032 in words is "twenty billion, one hundred million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 557 568 994 1114 1136 1988 2228 2269 2272 3899 3976 4456 4538 7798 7952 8912 9076 15596 15883 15904 17824 18152 31192 31766 36304 39547 62384 63532 72608 79094 124768 127064 158188 161099 254128 276829 316376 322198 508256 553658 632752 644396 1107316 1127693 1263833 1265504 1288792 2214632 2255386 2527666 2577584 4429264 4510772 5055332 5155168 8846831 8858528 9021544 10110664 17693662 18043088 20221328 35387324 36086176 40442656 70774648 89732143 141549296 179464286 283098592 358928572 628125001 717857144 1256250002 1435714288 2512500004 2871428576 5025000008 10050000016 20100000032