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21133133032 = 2311267499653
BaseRepresentation
bin10011101011101000…
…100000010011101000
32000112210201101112211
4103223220200103220
5321240040224112
613413004214504
71345461444514
oct235350402350
960483641484
1021133133032
118a65114700
12411953a434
131cba38965b
1410469ab144
1583a4990a7
hex4eba204e8

21133133032 has 96 divisors (see below), whose sum is σ = 44360820000. Its totient is φ = 9429171840.

The previous prime is 21133133017. The next prime is 21133133053. The reversal of 21133133032 is 23033133112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21133132994 and 21133133012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32362818 + ... + 32363470.

It is an arithmetic number, because the mean of its divisors is an integer number (462091875).

Almost surely, 221133133032 is an apocalyptic number.

21133133032 is a gapful number since it is divisible by the number (22) 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 21133133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22180410000).

21133133032 is an abundant number, since it is smaller than the sum of its proper divisors (23227686968).

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

21133133032 is a wasteful number, since it uses less digits than its factorization.

21133133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 21133133032 its reverse (23033133112), we get a palindrome (44166266144).

The spelling of 21133133032 in words is "twenty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 67 88 121 134 242 268 484 499 536 653 737 968 998 1306 1474 1996 2612 2948 3992 5224 5489 5896 7183 8107 10978 14366 16214 21956 28732 32428 33433 43751 43912 57464 60379 64856 66866 79013 87502 120758 133732 158026 175004 241516 267464 316052 325847 350008 367763 481261 483032 632104 651694 735526 962522 1303388 1471052 1925044 2606776 2942104 3584317 3850088 4045393 5293871 7168634 8090786 10587742 14337268 16181572 21175484 21831749 28674536 32363144 39427487 42350968 43663498 78854974 87326996 157709948 174653992 240149239 315419896 480298478 960596956 1921193912 2641641629 5283283258 10566566516 21133133032