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123220713 = 3711271683
BaseRepresentation
bin1110101100000…
…11001011101001
322120212021001010
413112003023221
5223021030323
620121014133
73024234030
oct726031351
9276767033
10123220713
1163611600
1235324349
131c6b3b85
1412517717
15ac3ec93
hex75832e9

123220713 has 48 divisors (see below), whose sum is σ = 209599488. Its totient is φ = 63016800.

The previous prime is 123220711. The next prime is 123220717. The reversal of 123220713 is 317022321.

It is not a de Polignac number, because 123220713 - 21 = 123220711 is a prime.

It is a super-2 number, since 2×1232207132 = 30366688224456738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 123220713.

It is not an unprimeable number, because it can be changed into a prime (123220711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180070 + ... + 180752.

It is an arithmetic number, because the mean of its divisors is an integer number (4366656).

Almost surely, 2123220713 is an apocalyptic number.

It is an amenable number.

123220713 is a deficient number, since it is larger than the sum of its proper divisors (86378775).

123220713 is a wasteful number, since it uses less digits than its factorization.

123220713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 123220713 is about 11100.4825570783. The cubic root of 123220713 is about 497.6162710657.

It can be divided in two parts, 1232 and 20713, that added together give a triangular number (21945 = T209).

The spelling of 123220713 in words is "one hundred twenty-three million, two hundred twenty thousand, seven hundred thirteen".

Divisors: 1 3 7 11 21 33 71 77 121 213 231 363 497 683 781 847 1491 2049 2343 2541 4781 5467 7513 8591 14343 16401 22539 25773 48493 52591 60137 82643 145479 157773 180411 247929 339451 533423 578501 1018353 1600269 1735503 3733961 5867653 11201883 17602959 41073571 123220713