Search a number
-
+
31400205151300 = 22524312975630203
BaseRepresentation
bin1110010001110111011100…
…00100101110110001000100
311010011211102021201022122021
413020323232010232301010
513103430110004320200
6150441015523012524
76420406232660056
oct710735604566104
9133154367638567
1031400205151300
11a00683022a577
1236316a120a144
13146a0466b500b
147a7ac6d198d6
15396bd0e5e41a
hex1c8eee12ec44

31400205151300 has 72 divisors (see below), whose sum is σ = 69776829754016. Its totient is φ = 12258526210560.

The previous prime is 31400205151297. The next prime is 31400205151303. The reversal of 31400205151300 is 315150200413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31400205151297) and next prime (31400205151303).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (31400205151303) 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, 2761999 + ... + 8392201.

Almost surely, 231400205151300 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 31400205151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34888414877008).

31400205151300 is an abundant number, since it is smaller than the sum of its proper divisors (38376624602716).

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

31400205151300 is a wasteful number, since it uses less digits than its factorization.

31400205151300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631557 (or 5631550 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 31400205151300 its reverse (315150200413), we get a palindrome (31715355351713).

The spelling of 31400205151300 in words is "thirty-one trillion, four hundred billion, two hundred five million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1297 2150 2594 4300 5188 6485 12970 25940 32425 55771 64850 111542 129700 223084 278855 557710 1115420 1394275 2788550 5577100 5630203 11260406 22520812 28151015 56302030 112604060 140755075 242098729 281510150 484197458 563020300 968394916 1210493645 2420987290 4841974580 6052468225 7302373291 12104936450 14604746582 24209872900 29209493164 36511866455 73023732910 146047465820 182559332275 314002051513 365118664550 628004103026 730237329100 1256008206052 1570010257565 3140020515130 6280041030260 7850051287825 15700102575650 31400205151300