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133013211030 = 23257211132081
BaseRepresentation
bin111101111100000110…
…1001000011110010110
3110201022220211020002100
41323320031020132112
54134402340223110
6141034434422530
712416122432110
oct1737015103626
9421286736070
10133013211030
1151457543187
1221941a31a46
13c70a23333b
14661b7503b0
1536d7666bc0
hex1ef8348796

133013211030 has 48 divisors (see below), whose sum is σ = 395239257504. Its totient is φ = 30403019520.

The previous prime is 133013210951. The next prime is 133013211053. The reversal of 133013211030 is 30112310331.

It is a happy number.

133013211030 is a `hidden beast` number, since 1 + 3 + 301 + 321 + 10 + 30 = 666.

It is a super-2 number, since 2×1330132110302 (a number of 23 digits) contains 22 as substring.

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 = 133013210994 and 133013211012.

It is a congruent number.

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, 105565411 + ... + 105566670.

It is an arithmetic number, because the mean of its divisors is an integer number (8234151198).

Almost surely, 2133013211030 is an apocalyptic number.

133013211030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133013211030 is an abundant number, since it is smaller than the sum of its proper divisors (262226046474).

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

133013211030 is a wasteful number, since it uses less digits than its factorization.

133013211030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211132101 (or 211132098 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133013211030 its reverse (30112310331), we get a palindrome (163125521361).

The spelling of 133013211030 in words is "one hundred thirty-three billion, thirteen million, two hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 211132081 422264162 633396243 1055660405 1266792486 1477924567 1900188729 2111320810 2955849134 3166981215 3800377458 4433773701 6333962430 7389622835 8867547402 9500943645 13301321103 14779245670 19001887290 22168868505 26602642206 44337737010 66506605515 133013211030