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31028470201 = 1927321272
BaseRepresentation
bin11100111001011100…
…001110000110111001
32222002102112121021001
4130321130032012321
51002021242021301
622130531445001
72145625434151
oct347134160671
988072477231
1031028470201
1112182842a03
12601b456761
132c0648cb51
141704c87761
15c19080c01
hex73970e1b9

31028470201 has 27 divisors (see below), whose sum is σ = 33465733551. Its totient is φ = 28764427104.

The previous prime is 31028470141. The next prime is 31028470247. The reversal of 31028470201 is 10207482013.

The square root of 31028470201 is 176149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17613271225 + 13415198976 = 132715^2 + 115824^2 .

It is a de Polignac number, because none of the positive numbers 2k-31028470201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31028470201.

It is not an unprimeable number, because it can be changed into a prime (31028470271) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 244318600 + ... + 244318726.

It is an arithmetic number, because the mean of its divisors is an integer number (1239471613).

Almost surely, 231028470201 is an apocalyptic number.

31028470201 is the 176149-th square number.

31028470201 is the 88075-th centered octagonal number.

It is an amenable number.

31028470201 is a deficient number, since it is larger than the sum of its proper divisors (2437263350).

31028470201 is an frugal number, since it uses more digits than its factorization.

31028470201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 31028470201 in words is "thirty-one billion, twenty-eight million, four hundred seventy thousand, two hundred one".

Divisors: 1 19 73 127 361 1387 2413 5329 9271 16129 26353 45847 101251 176149 306451 676783 1177417 1923769 3346831 5822569 12858877 22370923 85951441 244318663 425047537 1633077379 31028470201