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10200110076 = 22321365933073
BaseRepresentation
bin10010111111111100…
…10101001111111100
3222022212022021112200
421133332111033330
5131342212010301
64404051431500
7510524335152
oct113776251774
928285267480
1010200110076
114364772742
121b87bb5590
13c672b28c0
146ca9733d2
153ea739c86
hex25ff953fc

10200110076 has 72 divisors (see below), whose sum is σ = 27809942160. Its totient is φ = 3133638144.

The previous prime is 10200110051. The next prime is 10200110077. The reversal of 10200110076 is 67001100201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200110077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291876 + ... + 324948.

Almost surely, 210200110076 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 10200110076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904971080).

10200110076 is an abundant number, since it is smaller than the sum of its proper divisors (17609832084).

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

10200110076 is a wasteful number, since it uses less digits than its factorization.

10200110076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33755 (or 33750 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10200110076 its reverse (67001100201), we get a palindrome (77201210277).

The spelling of 10200110076 in words is "ten billion, two hundred million, one hundred ten thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 659 1318 1977 2636 3954 5931 7908 8567 11862 17134 23724 25701 33073 34268 51402 66146 77103 99219 102804 132292 154206 198438 297657 308412 396876 429949 595314 859898 1190628 1289847 1719796 2579694 3869541 5159388 7739082 15478164 21795107 43590214 65385321 87180428 130770642 196155963 261541284 283336391 392311926 566672782 784623852 850009173 1133345564 1700018346 2550027519 3400036692 5100055038 10200110076