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2121012031032 = 233229458500431
BaseRepresentation
bin11110110111010110001…
…010110010111000111000
321111202200222022222001100
4132313112022302320320
5234222313034443112
64302213544451400
7306144440540166
oct36672612627070
97452628288040
102121012031032
11748574aa6894
122a3096779b60
1312501a30ba6b
147492c396236
153a28bc3e2dc
hex1edd62b2e38

2121012031032 has 24 divisors (see below), whose sum is σ = 5744407584240. Its totient is φ = 707004010320.

The previous prime is 2121012031007. The next prime is 2121012031043. The reversal of 2121012031032 is 2301302101212.

2121012031032 is a `hidden beast` number, since 21 + 210 + 120 + 310 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 2121012030996 and 2121012031014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14729250144 + ... + 14729250287.

It is an arithmetic number, because the mean of its divisors is an integer number (239350316010).

Almost surely, 22121012031032 is an apocalyptic number.

It is an amenable number.

2121012031032 is an abundant number, since it is smaller than the sum of its proper divisors (3623395553208).

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

2121012031032 is a wasteful number, since it uses less digits than its factorization.

2121012031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29458500443 (or 29458500436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121012031032 its reverse (2301302101212), we get a palindrome (4422314132244).

The spelling of 2121012031032 in words is "two trillion, one hundred twenty-one billion, twelve million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29458500431 58917000862 88375501293 117834001724 176751002586 235668003448 265126503879 353502005172 530253007758 707004010344 1060506015516 2121012031032