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31020312131010 = 23251573117059007
BaseRepresentation
bin1110000110110011110101…
…01011110111010111000010
311001211111211212222100110200
413003121322223313113002
513031214044401143020
6145550311253110030
76351100152405126
oct703317253672702
9131744755870420
1031020312131010
11997a705555684
12358bb3b928316
13144028396a007
14793569329586
1538bd998b4590
hex1c367aaf75c2

31020312131010 has 96 divisors (see below), whose sum is σ = 81427520858112. Its totient is φ = 8192964723840.

The previous prime is 31020312130993. The next prime is 31020312131027. The reversal of 31020312131010 is 1013121302013.

31020312131010 is a `hidden beast` number, since 3 + 10 + 20 + 312 + 1 + 310 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (31020312130993) and next prime (31020312131027).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864927 + ... + 7923933.

It is an arithmetic number, because the mean of its divisors is an integer number (848203342272).

Almost surely, 231020312131010 is an apocalyptic number.

31020312131010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020312131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40713760429056).

31020312131010 is an abundant number, since it is smaller than the sum of its proper divisors (50407208727102).

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

31020312131010 is a wasteful number, since it uses less digits than its factorization.

31020312131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059488 (or 7059485 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31020312131010 its reverse (1013121302013), we get a palindrome (32033433433023).

The spelling of 31020312131010 in words is "thirty-one trillion, twenty billion, three hundred twelve million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 311 314 471 622 785 933 942 1413 1555 1570 1866 2355 2799 2826 3110 4665 4710 5598 7065 9330 13995 14130 27990 48827 97654 146481 244135 292962 439443 488270 732405 878886 1464810 2197215 4394430 7059007 14118014 21177021 35295035 42354042 63531063 70590070 105885105 127062126 211770210 317655315 635310630 1108264099 2195351177 2216528198 3324792297 4390702354 5541320495 6586053531 6649584594 9974376891 10976755885 11082640990 13172107062 16623961485 19758160593 19948753782 21953511770 32930267655 33247922970 39516321186 49871884455 65860535310 98790802965 99743768910 197581605930 344670134789 689340269578 1034010404367 1723350673945 2068020808734 3102031213101 3446701347890 5170052021835 6204062426202 10340104043670 15510156065505 31020312131010