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310312132020 = 2232511156723299
BaseRepresentation
bin1001000010000000000…
…10110101110110110100
31002122222012000121111200
410201000002311312310
520041004401211040
6354315545532500
731263552413232
oct4410002656664
91078865017450
10310312132020
1110a66a121760
1250182aa4130
13233543a3c87
141103a915952
158112b75630
hex48400b5db4

310312132020 has 72 divisors (see below), whose sum is σ = 1026851061600. Its totient is φ = 75227183040.

The previous prime is 310312132001. The next prime is 310312132027. The reversal of 310312132020 is 20231213013.

310312132020 is a `hidden beast` number, since 3 + 10 + 312 + 1 + 320 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 310312131984 and 310312132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310312132027) 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, 78359670 + ... + 78363629.

It is an arithmetic number, because the mean of its divisors is an integer number (14261820300).

Almost surely, 2310312132020 is an apocalyptic number.

310312132020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310312132020 is an abundant number, since it is smaller than the sum of its proper divisors (716538929580).

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

310312132020 is a wasteful number, since it uses less digits than its factorization.

310312132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156723325 (or 156723320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 310312132020 its reverse (20231213013), we get a palindrome (330543345033).

The spelling of 310312132020 in words is "three hundred ten billion, three hundred twelve million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 156723299 313446598 470169897 626893196 783616495 940339794 1410509691 1567232990 1723956289 1880679588 2350849485 2821019382 3134465980 3447912578 4701698970 5171868867 5642038764 6895825156 7052548455 8619781445 9403397940 10343737734 14105096910 15515606601 17239562890 20687475468 25859344335 28210193820 31031213202 34479125780 51718688670 62062426404 77578033005 103437377340 155156066010 310312132020