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31301301100 = 225219109151141
BaseRepresentation
bin11101001001101100…
…111111001101101100
32222210102220211220011
4131021230333031230
51003101113113400
622213555303004
72155450445416
oct351154771554
988712824804
1031301301100
111230284a893
1260968aaa64
132c4ab67354
14172d1c79b6
15c32ec48ba
hex749b3f36c

31301301100 has 72 divisors (see below), whose sum is σ = 72155190800. Its totient is φ = 11752646400.

The previous prime is 31301301091. The next prime is 31301301137. The reversal of 31301301100 is 110310313.

It is a happy number.

It is a super-2 number, since 2×313013011002 (a number of 22 digits) contains 22 as substring.

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, 131530 + ... + 282670.

Almost surely, 231301301100 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 31301301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36077595400).

31301301100 is an abundant number, since it is smaller than the sum of its proper divisors (40853889700).

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

31301301100 is a wasteful number, since it uses less digits than its factorization.

31301301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151283 (or 151276 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 31301301100 its reverse (110310313), we get a palindrome (31411611413).

The spelling of 31301301100 in words is "thirty-one billion, three hundred one million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 109 190 218 380 436 475 545 950 1090 1900 2071 2180 2725 4142 5450 8284 10355 10900 20710 41420 51775 103550 151141 207100 302282 604564 755705 1511410 2871679 3022820 3778525 5743358 7557050 11486716 14358395 15114100 16474369 28716790 32948738 57433580 65897476 71791975 82371845 143583950 164743690 287167900 313013011 329487380 411859225 626026022 823718450 1252052044 1565065055 1647436900 3130130110 6260260220 7825325275 15650650550 31301301100