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313131031001300 = 225273103416453027
BaseRepresentation
bin100011100110010100111111…
…1110111101111100011010100
31112001201000220221101122122202
41013030221333313233203110
5312020314322414020200
63025550224301544032
7122645653566415511
oct10714517767574324
91461630827348582
10313131031001300
1190856140766936
122b152a84875018
131059518b7378a5
1457478a0c24308
1526303cb6111d5
hex11cca7fdef8d4

313131031001300 has 72 divisors (see below), whose sum is σ = 695489883256896. Its totient is φ = 122337240917760.

The previous prime is 313131031001293. The next prime is 313131031001311. The reversal of 313131031001300 is 3100130131313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207474614 + ... + 208978413.

Almost surely, 2313131031001300 is an apocalyptic number.

It is an amenable number.

313131031001300 is an abundant number, since it is smaller than the sum of its proper divisors (382358852255596).

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

313131031001300 is a wasteful number, since it uses less digits than its factorization.

313131031001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416453217 (or 416453210 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 313131031001300 its reverse (3100130131313), we get a palindrome (316231161132613).

The spelling of 313131031001300 in words is "three hundred thirteen trillion, one hundred thirty-one billion, thirty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 103 146 206 292 365 412 515 730 1030 1460 1825 2060 2575 3650 5150 7300 7519 10300 15038 30076 37595 75190 150380 187975 375950 751900 416453027 832906054 1665812108 2082265135 4164530270 8329060540 10411325675 20822651350 30401070971 41645302700 42894661781 60802141942 85789323562 121604283884 152005354855 171578647124 214473308905 304010709710 428946617810 608021419420 760026774275 857893235620 1072366544525 1520053548550 2144733089050 3040107097100 3131310310013 4289466178100 6262620620026 12525241240052 15656551550065 31313103100130 62626206200260 78282757750325 156565515500650 313131031001300