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12000213313002 = 234179413828999
BaseRepresentation
bin1010111010100000010001…
…1100111010010111101010
31120111012122111110112020000
42232220010130322113222
53033102414102004002
641304453310043430
72345662321105215
oct256500434722752
946435574415200
1012000213313002
113907297630042
12141987b1a9576
136907cc9586b5
142d6b5606877c
1515c246a0961c
hexaea0473a5ea

12000213313002 has 40 divisors (see below), whose sum is σ = 27039586860000. Its totient is φ = 3977724328776.

The previous prime is 12000213312917. The next prime is 12000213313009. The reversal of 12000213313002 is 20031331200021.

12000213313002 is a `hidden beast` number, since 12 + 0 + 0 + 0 + 21 + 331 + 300 + 2 = 666.

12000213313002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12000213313009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206885502 + ... + 206943497.

It is an arithmetic number, because the mean of its divisors is an integer number (675989671500).

Almost surely, 212000213313002 is an apocalyptic number.

12000213313002 is an abundant number, since it is smaller than the sum of its proper divisors (15039373546998).

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

12000213313002 is a wasteful number, since it uses less digits than its factorization.

12000213313002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413829192 (or 413829183 counting only the distinct ones).

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

Adding to 12000213313002 its reverse (20031331200021), we get a palindrome (32031544513023).

The spelling of 12000213313002 in words is "twelve trillion, two hundred thirteen million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 358 537 1074 1611 3222 4833 9666 14499 28998 413828999 827657998 1241486997 2482973994 3724460991 7448921982 11173382973 22346765946 33520148919 67040297838 74075390821 148150781642 222226172463 444452344926 666678517389 1333357034778 2000035552167 4000071104334 6000106656501 12000213313002