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311020001028 = 2232111934069451
BaseRepresentation
bin1001000011010100011…
…11001001011100000100
31002201210112000002020100
410201222033021130010
520043432110013103
6354514114004100
731320236250252
oct4415217113404
91081715002210
10311020001028
1110a9a2756170
125033bb76630
1323437c39c89
14110a693b5d2
158154d9e5a3
hex486a3c9704

311020001028 has 72 divisors (see below), whose sum is σ = 862105267296. Its totient is φ = 93760128000.

The previous prime is 311020001021. The next prime is 311020001053. The reversal of 311020001028 is 820100020113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 311020001028.

It is not an unprimeable number, because it can be changed into a prime (311020001021) 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, 1958298 + ... + 2111153.

It is an arithmetic number, because the mean of its divisors is an integer number (11973684268).

Almost surely, 2311020001028 is an apocalyptic number.

It is an amenable number.

311020001028 is an abundant number, since it is smaller than the sum of its proper divisors (551085266268).

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

311020001028 is a wasteful number, since it uses less digits than its factorization.

311020001028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069665 (or 4069660 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 311020001028 in words is "three hundred eleven billion, twenty million, one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 193 198 386 396 579 772 1158 1737 2123 2316 3474 4246 6369 6948 8492 12738 19107 25476 38214 76428 4069451 8138902 12208353 16277804 24416706 36625059 44763961 48833412 73250118 89527922 134291883 146500236 179055844 268583766 402875649 537167532 785404043 805751298 1570808086 1611502596 2356212129 3141616172 4712424258 7068636387 8639444473 9424848516 14137272774 17278888946 25918333419 28274545548 34557777892 51836666838 77755000257 103673333676 155510000514 311020001028