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33131002020 = 22354127149697
BaseRepresentation
bin11110110110110000…
…101111100010100100
310011111221211021200220
4132312300233202210
51020323014031040
623115320204340
72252005604424
oct366660574244
9104457737626
1033131002020
1113061650206
1265076096b0
13317cc5620c
1418641d2484
15cdd9482d0
hex7b6c2f8a4

33131002020 has 96 divisors (see below), whose sum is σ = 95381991936. Its totient is φ = 8587468800.

The previous prime is 33131001997. The next prime is 33131002033. The reversal of 33131002020 is 2020013133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641812 + ... + 691508.

It is an arithmetic number, because the mean of its divisors is an integer number (993562416).

Almost surely, 233131002020 is an apocalyptic number.

33131002020 is a gapful number since it is divisible by the number (30) 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 33131002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47690995968).

33131002020 is an abundant number, since it is smaller than the sum of its proper divisors (62250989916).

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

33131002020 is a wasteful number, since it uses less digits than its factorization.

33131002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50021 (or 50019 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 33131002020 its reverse (2020013133), we get a palindrome (35151015153).

The spelling of 33131002020 in words is "thirty-three billion, one hundred thirty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 2460 2710 3252 4065 5420 8130 11111 16260 22222 33333 44444 49697 55555 66666 99394 111110 133332 149091 166665 198788 222220 248485 298182 333330 496970 596364 666660 745455 993940 1490910 2037577 2981820 4075154 6112731 8150308 10187885 12225462 13467887 20375770 24450924 26935774 30563655 40403661 40751540 53871548 61127310 67339435 80807322 122254620 134678870 161614644 202018305 269357740 404036610 552183367 808073220 1104366734 1656550101 2208733468 2760916835 3313100202 5521833670 6626200404 8282750505 11043667340 16565501010 33131002020