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100023332220 = 22335726461199
BaseRepresentation
bin101110100100111011…
…0101110110101111100
3100120011210112202001000
41131021312232311330
53114321433112340
6113541115050300
710140446203320
oct1351166566574
9316153482030
10100023332220
1139468621a29
1217475740990
1395805bb7a6
144bac1b5980
1529062e7d30
hex1749daed7c

100023332220 has 96 divisors (see below), whose sum is σ = 355638528000. Its totient is φ = 22862475072.

The previous prime is 100023332183. The next prime is 100023332237. The reversal of 100023332220 is 22233320001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100023332193 and 100023332202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13226820 + ... + 13234379.

It is an arithmetic number, because the mean of its divisors is an integer number (3704568000).

Almost surely, 2100023332220 is an apocalyptic number.

100023332220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023332220 is an abundant number, since it is smaller than the sum of its proper divisors (255615195780).

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

100023332220 is a wasteful number, since it uses less digits than its factorization.

100023332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26461224 (or 26461216 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100023332220 its reverse (22233320001), we get a palindrome (122256652221).

The spelling of 100023332220 in words is "one hundred billion, twenty-three million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26461199 52922398 79383597 105844796 132305995 158767194 185228393 238150791 264611990 317534388 370456786 396917985 476301582 529223980 555685179 714452373 740913572 793835970 926141965 952603164 1111370358 1190753955 1428904746 1587671940 1667055537 1852283930 2222740716 2381507910 2778425895 2857809492 3334111074 3572261865 3704567860 4763015820 5001166611 5556851790 6668222148 7144523730 8335277685 10002333222 11113703580 14289047460 16670555370 20004666444 25005833055 33341110740 50011666110 100023332220