Search a number
-
+
31974117300 = 22325258796043
BaseRepresentation
bin11101110001110011…
…100100111110110100
310001112022221110012200
4131301303210332310
51010440333223200
622404432144500
72211230340606
oct356163447664
9101468843180
1031974117300
1112618612634
126244098130
133027379548
1417946c7176
15c720c7800
hex771ce4fb4

31974117300 has 108 divisors (see below), whose sum is σ = 100254729120. Its totient is φ = 8523570240.

The previous prime is 31974117257. The next prime is 31974117337. The reversal of 31974117300 is 371147913.

It is a super-2 number, since 2×319741173002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5288079 + ... + 5294121.

Almost surely, 231974117300 is an apocalyptic number.

31974117300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31974117300 is an abundant number, since it is smaller than the sum of its proper divisors (68280611820).

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

31974117300 is a wasteful number, since it uses less digits than its factorization.

31974117300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11942 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 31974117300 in words is "thirty-one billion, nine hundred seventy-four million, one hundred seventeen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5879 6043 11758 12086 17637 18129 23516 24172 29395 30215 35274 36258 52911 54387 58790 60430 70548 72516 88185 90645 105822 108774 117580 120860 146975 151075 176370 181290 211644 217548 264555 271935 293950 302150 352740 362580 440925 453225 529110 543870 587900 604300 881850 906450 1058220 1087740 1322775 1359675 1763700 1812900 2645550 2719350 5291100 5438700 35526797 71053594 106580391 142107188 177633985 213160782 319741173 355267970 426321564 532901955 639482346 710535940 888169925 1065803910 1278964692 1598705865 1776339850 2131607820 2664509775 3197411730 3552679700 5329019550 6394823460 7993529325 10658039100 15987058650 31974117300