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212251154004 = 223312157161659
BaseRepresentation
bin1100010110101100100…
…1111001011001010100
3202021212010222210101000
43011223021321121110
511434142243412004
6241301250503300
721222532020111
oct3055311713124
9667763883330
10212251154004
118201927456a
1235176594b30
131702750b726
14a3b71d9908
1557c3ca5c39
hex316b279654

212251154004 has 48 divisors (see below), whose sum is σ = 550329438400. Its totient is φ = 70744127328.

The previous prime is 212251153987. The next prime is 212251154021. The reversal of 212251154004 is 400451152212.

It is a happy number.

212251154004 is a `hidden beast` number, since 2 + 1 + 2 + 251 + 1 + 5 + 400 + 4 = 666.

212251154004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212251153987) and next prime (212251154021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232127 + ... + 1393785.

Almost surely, 2212251154004 is an apocalyptic number.

It is an amenable number.

212251154004 is an abundant number, since it is smaller than the sum of its proper divisors (338078284396).

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

212251154004 is a wasteful number, since it uses less digits than its factorization.

212251154004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173829 (or 173821 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 212251154004 in words is "two hundred twelve billion, two hundred fifty-one million, one hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 12157 24314 36471 48628 72942 109413 145884 161659 218826 323318 328239 437652 484977 646636 656478 969954 1312956 1454931 1939908 2909862 4364793 5819724 8729586 17459172 1965288463 3930576926 5895865389 7861153852 11791730778 17687596167 23583461556 35375192334 53062788501 70750384668 106125577002 212251154004