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20133213414120 = 2332561916812997
BaseRepresentation
bin1001001001111101000010…
…00010001010001011101000
32122021201100021000002202100
410210332201002022023220
510114330310113222440
6110453023123533400
74145401540245342
oct444764102121350
978251307002670
1020133213414120
1164624a2111814
122311b5052a260
13b30727b42931
144d864a404292
1524da9ed97230
hex124fa108a2e8

20133213414120 has 96 divisors (see below), whose sum is σ = 66505614874920. Its totient is φ = 5280842856960.

The previous prime is 20133213414109. The next prime is 20133213414121. The reversal of 20133213414120 is 2141431233102.

20133213414120 is a `hidden beast` number, since 2 + 0 + 1 + 33 + 213 + 4 + 1 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12211544228004 + 7921669186116 = 3494502^2 + 2814546^2 .

It is not an unprimeable number, because it can be changed into a prime (20133213414121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458384539 + ... + 458428458.

Almost surely, 220133213414120 is an apocalyptic number.

20133213414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133213414120 is an abundant number, since it is smaller than the sum of its proper divisors (46372401460800).

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

20133213414120 is a wasteful number, since it uses less digits than its factorization.

20133213414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916813075 (or 916813068 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20133213414120 its reverse (2141431233102), we get a palindrome (22274644647222).

The spelling of 20133213414120 in words is "twenty trillion, one hundred thirty-three billion, two hundred thirteen million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 916812997 1833625994 2750438991 3667251988 4584064985 5500877982 7334503976 8251316973 9168129970 11001755964 13752194955 16502633946 18336259940 22003511928 27504389910 33005267892 36672519880 41256584865 55008779820 55925592817 66010535784 82513169730 110017559640 111851185634 165026339460 167776778451 223702371268 279627964085 330052678920 335553556902 447404742536 503330335353 559255928170 671107113804 838883892255 1006660670706 1118511856340 1342214227608 1677767784510 2013321341412 2237023712680 2516651676765 3355535569020 4026642682824 5033303353530 6711071138040 10066606707060 20133213414120