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133012312020 = 223257230749123
BaseRepresentation
bin111101111100000100…
…1101100111111010100
3110201022212010112212200
41323320021230333110
54134402122441040
6141034403244500
712416111666100
oct1737011547724
9421285115780
10133012312020
1151456a897a5
1221941679730
13c709caa093
14661b598900
1536d753a630
hex1ef826cfd4

133012312020 has 216 divisors, whose sum is σ = 470881835424. Its totient is φ = 30303165312.

The previous prime is 133012312007. The next prime is 133012312117. The reversal of 133012312020 is 20213210331.

133012312020 is a `hidden beast` number, since 1 + 330 + 1 + 2 + 312 + 0 + 20 = 666.

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 = 133012311984 and 133012312002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2683179 + ... + 2732301.

Almost surely, 2133012312020 is an apocalyptic number.

133012312020 is a gapful number since it is divisible by the number (10) 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 133012312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235440917712).

133012312020 is an abundant number, since it is smaller than the sum of its proper divisors (337869523404).

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

133012312020 is a wasteful number, since it uses less digits than its factorization.

133012312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49459 (or 49447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133012312020 its reverse (20213210331), we get a palindrome (153225522351).

The spelling of 133012312020 in words is "one hundred thirty-three billion, twelve million, three hundred twelve thousand, twenty".