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31412312020 = 225171910914457
BaseRepresentation
bin11101010000010100…
…011101011111010100
310000002011210210020201
4131100110131133110
51003313022441040
622233002510244
72161266150415
oct352024353724
9100064723221
1031412312020
111235a481a51
126107b05384
132c67b6489b
14173dc4380c
15c3cb01a9a
hex75051d7d4

31412312020 has 96 divisors (see below), whose sum is σ = 73606216320. Its totient is φ = 11190620160.

The previous prime is 31412311993. The next prime is 31412312023. The reversal of 31412312020 is 2021321413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31412312023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045632 + ... + 7050088.

It is an arithmetic number, because the mean of its divisors is an integer number (766731420).

Almost surely, 231412312020 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 31412312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36803108160).

31412312020 is an abundant number, since it is smaller than the sum of its proper divisors (42193904300).

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

31412312020 is a wasteful number, since it uses less digits than its factorization.

31412312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 31412312020 its reverse (2021321413), we get a palindrome (33433633433).

The spelling of 31412312020 in words is "thirty-one billion, four hundred twelve million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1091 1292 1615 2182 3230 4364 4457 5455 6460 8914 10910 17828 18547 20729 21820 22285 37094 41458 44570 74188 75769 82916 84683 89140 92735 103645 151538 169366 185470 207290 303076 338732 352393 370940 378845 414580 423415 704786 757690 846830 1409572 1439611 1515380 1693660 1761965 2879222 3523930 4862587 5758444 7047860 7198055 9725174 14396110 19450348 24312935 28792220 48625870 82663979 92389153 97251740 165327958 184778306 330655916 369556612 413319895 461945765 826639790 923891530 1570615601 1653279580 1847783060 3141231202 6282462404 7853078005 15706156010 31412312020