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21123133040 = 2455333714783
BaseRepresentation
bin10011101011000010…
…010110111001110000
32000112002220100010202
4103223002112321300
5321230010224130
613412010014332
71345310445152
oct235302267160
960462810122
1021123133040
118a5a504549
1241161173a8
131cb8297ab9
141045526ad2
15839671145
hex4eb096e70

21123133040 has 80 divisors (see below), whose sum is σ = 50189787648. Its totient is φ = 8264675328.

The previous prime is 21123133039. The next prime is 21123133099. The reversal of 21123133040 is 4033132112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421489 + ... + 1436271.

Almost surely, 221123133040 is an apocalyptic number.

21123133040 is a gapful number since it is divisible by the number (20) 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 21123133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25094893824).

21123133040 is an abundant number, since it is smaller than the sum of its proper divisors (29066654608).

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

21123133040 is a wasteful number, since it uses less digits than its factorization.

21123133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15186 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21123133040 its reverse (4033132112), we get a palindrome (25156265152).

The spelling of 21123133040 in words is "twenty-one billion, one hundred twenty-three million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 337 424 530 674 848 1060 1348 1685 2120 2696 3370 4240 5392 6740 13480 14783 17861 26960 29566 35722 59132 71444 73915 89305 118264 142888 147830 178610 236528 285776 295660 357220 591320 714440 783499 1182640 1428880 1566998 3133996 3917495 4981871 6267992 7834990 9963742 12535984 15669980 19927484 24909355 31339960 39854968 49818710 62679920 79709936 99637420 199274840 264039163 398549680 528078326 1056156652 1320195815 2112313304 2640391630 4224626608 5280783260 10561566520 21123133040