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123013229952 = 2731512121503
BaseRepresentation
bin111001010010000101…
…0001110110110000000
3102202112000002112220210
41302210022032312000
54003412341324302
6132302252234120
711613245126244
oct1624412166600
9382460075823
10123013229952
1148195841408
121ba10a6b940
13b7a5551682
145d4d5d4424
1532ee7ae66c
hex1ca428ed80

123013229952 has 64 divisors (see below), whose sum is σ = 328917980160. Its totient is φ = 40732838400.

The previous prime is 123013229951. The next prime is 123013229953. The reversal of 123013229952 is 259922310321.

It is an interprime number because it is at equal distance from previous prime (123013229951) and next prime (123013229953).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1230132299523 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123013229952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013229951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002768 + ... + 1118735.

It is an arithmetic number, because the mean of its divisors is an integer number (5139343440).

Almost surely, 2123013229952 is an apocalyptic number.

123013229952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123013229952 is an abundant number, since it is smaller than the sum of its proper divisors (205904750208).

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

123013229952 is a wasteful number, since it uses less digits than its factorization.

123013229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121671 (or 2121659 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 123013229952 in words is "one hundred twenty-three billion, thirteen million, two hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 19328 28992 57984 2121503 4243006 6364509 8486012 12729018 16972024 25458036 33944048 50916072 67888096 101832144 135776192 203664288 271552384 320346953 407328576 640693906 814657152 961040859 1281387812 1922081718 2562775624 3844163436 5125551248 7688326872 10251102496 15376653744 20502204992 30753307488 41004409984 61506614976 123013229952