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31410100322140 = 225293671167712637
BaseRepresentation
bin1110010010001001110111…
…10111110011111101011100
311010012202221220020002012011
413021010323313303331130
513104110341140302030
6150445333442521004
76421206365354461
oct711047367637534
9133182856202164
1031410100322140
11a00aa48854911
1236335a3066164
13146ac6275a8a7
147a8385191668
153970aea11b2a
hex1c913bdf3f5c

31410100322140 has 96 divisors (see below), whose sum is σ = 68432937995520. Its totient is φ = 12095750145024.

The previous prime is 31410100322063. The next prime is 31410100322147. The reversal of 31410100322140 is 4122300101413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31410100322147) 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, 2485559902 + ... + 2485572538.

It is an arithmetic number, because the mean of its divisors is an integer number (712843104120).

Almost surely, 231410100322140 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 31410100322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34216468997760).

31410100322140 is an abundant number, since it is smaller than the sum of its proper divisors (37022837673380).

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

31410100322140 is a wasteful number, since it uses less digits than its factorization.

31410100322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24719 (or 24717 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31410100322140 its reverse (4122300101413), we get a palindrome (35532400423553).

The spelling of 31410100322140 in words is "thirty-one trillion, four hundred ten billion, one hundred million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 367 580 734 1468 1835 3670 7340 10643 11677 12637 21286 23354 25274 42572 46708 50548 53215 58385 63185 106430 116770 126370 212860 233540 252740 338633 366473 677266 732946 1354532 1465892 1693165 1832365 3386330 3664730 4285459 4637779 6772660 7329460 8570918 9275558 17141836 18551116 21427295 23188895 42854590 46377790 85709180 92755580 124278311 134495591 147562249 248556622 268991182 295124498 497113244 537982364 590248996 621391555 672477955 737811245 1242783110 1344955910 1475622490 2485566220 2689911820 2951244980 4279305221 8558610442 17117220884 21396526105 42793052210 54155345383 85586104420 108310690766 216621381532 270776726915 541553453830 1083106907660 1570505016107 3141010032214 6282020064428 7852525080535 15705050161070 31410100322140