Search a number
-
+
31000114210 = 251317893972
BaseRepresentation
bin11100110111110000…
…000011010000100010
32222000110011222011011
4130313300003100202
51001442012123320
622124040011134
72145132423502
oct346760032042
988013158134
1031000114210
11121688356aa
126011a60aaa
132c00642260
1417011c5a02
15c1682e05a
hex737c03422

31000114210 has 96 divisors (see below), whose sum is σ = 64504777680. Its totient is φ = 10625015808.

The previous prime is 31000114199. The next prime is 31000114237. The reversal of 31000114210 is 1241100013.

It can be written as a sum of positive squares in 24 ways, for example, as 378964089 + 30621150121 = 19467^2 + 174989^2 .

It is a super-2 number, since 2×310001142102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 78085732 + ... + 78086128.

Almost surely, 231000114210 is an apocalyptic number.

31000114210 is an abundant number, since it is smaller than the sum of its proper divisors (33504663470).

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

31000114210 is a wasteful number, since it uses less digits than its factorization.

31000114210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 31000114210 its reverse (1241100013), we get a palindrome (32241214223).

The spelling of 31000114210 in words is "thirty-one billion, one hundred fourteen thousand, two hundred ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 89 130 170 178 221 397 442 445 794 890 1105 1157 1513 1985 2210 2314 3026 3970 5161 5785 6749 7565 10322 11570 13498 15130 19669 25805 33745 35333 39338 51610 67490 70666 87737 98345 157609 175474 176665 196690 315218 353330 438685 459329 600661 788045 877370 918658 1201322 1576090 2048917 2296645 2679353 3003305 4097834 4593290 5358706 6006610 7808593 10244585 13396765 14027201 15617186 20489170 26793530 28054402 34831589 39042965 69663178 70136005 78085930 140272010 174157945 182353613 238462417 348315890 364707226 476924834 911768065 1192312085 1823536130 2384624170 3100011421 6200022842 15500057105 31000114210