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100023332084 = 221329712712011
BaseRepresentation
bin101110100100111011…
…0101110110011110100
3100120011210112201211222
41131021312232303310
53114321433111314
6113541115045512
710140446203034
oct1351166566364
9316153481758
10100023332084
1139468621915
1217475740898
1395805bb700
144bac1b58c4
1529062e7c8e
hex1749daecf4

100023332084 has 72 divisors (see below), whose sum is σ = 193019194368. Its totient is φ = 45325163520.

The previous prime is 100023332083. The next prime is 100023332117. The reversal of 100023332084 is 480233320001.

It is a super-2 number, since 2×1000233320842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023332083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8321639 + ... + 8333649.

It is an arithmetic number, because the mean of its divisors is an integer number (2680822144).

Almost surely, 2100023332084 is an apocalyptic number.

It is an amenable number.

100023332084 is a deficient number, since it is larger than the sum of its proper divisors (92995862284).

100023332084 is a wasteful number, since it uses less digits than its factorization.

100023332084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12265 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 100023332084 its reverse (480233320001), we get a palindrome (580256652085).

The spelling of 100023332084 in words is "one hundred billion, twenty-three million, three hundred thirty-two thousand, eighty-four".

Divisors: 1 2 4 13 26 52 97 127 169 194 254 338 388 508 676 1261 1651 2522 3302 5044 6604 12011 12319 16393 21463 24022 24638 32786 42926 48044 49276 65572 85852 156143 160147 312286 320294 624572 640588 1165067 1525397 2029859 2081911 2330134 3050794 4059718 4163822 4660268 6101588 8119436 8327644 15145871 19830161 30291742 39660322 60583484 79320644 147963509 196896323 257792093 295927018 393792646 515584186 591854036 787585292 1031168372 1923525617 3847051234 7694102468 25005833021 50011666042 100023332084