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3100023220 = 2257210929021
BaseRepresentation
bin1011100011000110…
…1001100110110100
322000001020111101211
42320301221212310
522322101220340
61231340131204
7136551522400
oct27061514664
98001214354
103100023220
111350978368
12726236b04
133a5335788
14215a02100
151322505ea
hexb8c699b4

3100023220 has 72 divisors (see below), whose sum is σ = 7642653480. Its totient is φ = 1053077760.

The previous prime is 3100023211. The next prime is 3100023257. The reversal of 3100023220 is 223200013.

It is a happy number.

3100023220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1443696016 + 1656327204 = 37996^2 + 40698^2 .

It is a super-2 number, since 2×31000232202 = 19220287929078336800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3100023220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92310 + ... + 121330.

It is an arithmetic number, because the mean of its divisors is an integer number (106147965).

Almost surely, 23100023220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821326740).

3100023220 is an abundant number, since it is smaller than the sum of its proper divisors (4542630260).

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

3100023220 is a wasteful number, since it uses less digits than its factorization.

3100023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29153 (or 29144 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3100023220 is about 55677.8521496654. The cubic root of 3100023220 is about 1458.1033763634.

Adding to 3100023220 its reverse (223200013), we get a palindrome (3323223233).

The spelling of 3100023220 in words is "three billion, one hundred million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 140 196 218 245 436 490 545 763 980 1090 1526 2180 3052 3815 5341 7630 10682 15260 21364 26705 29021 53410 58042 106820 116084 145105 203147 290210 406294 580420 812588 1015735 1422029 2031470 2844058 3163289 4062940 5688116 6326578 7110145 12653156 14220290 15816445 22143023 28440580 31632890 44286046 63265780 88572092 110715115 155001161 221430230 310002322 442860460 620004644 775005805 1550011610 3100023220