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31123242200 = 23521036412357
BaseRepresentation
bin11100111111000101…
…101111110011011000
32222100000212112000002
4130333011233303120
51002220022222300
622144155032132
72151156123311
oct347705576330
988300775002
1031123242200
1112221293576
12604713b648
132c1ccc2b5b
1417136b7608
15c225515d5
hex73f16fcd8

31123242200 has 96 divisors (see below), whose sum is σ = 73209108960. Its totient is φ = 12303974400.

The previous prime is 31123242193. The next prime is 31123242209. The reversal of 31123242200 is 224232113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123242209) 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, 13203422 + ... + 13205778.

It is an arithmetic number, because the mean of its divisors is an integer number (762594885).

Almost surely, 231123242200 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 31123242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604554480).

31123242200 is an abundant number, since it is smaller than the sum of its proper divisors (42085866760).

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

31123242200 is a wasteful number, since it uses less digits than its factorization.

31123242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31123242200 its reverse (224232113), we get a palindrome (31347474313).

The spelling of 31123242200 in words is "thirty-one billion, one hundred twenty-three million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 641 824 1030 1282 2060 2357 2564 2575 3205 4120 4714 5128 5150 6410 9428 10300 11785 12820 16025 18856 20600 23570 25640 32050 47140 58925 64100 66023 94280 117850 128200 132046 235700 242771 264092 330115 471400 485542 528184 660230 971084 1213855 1320460 1510837 1650575 1942168 2427710 2640920 3021674 3301150 4855420 6043348 6069275 6602300 7554185 9710840 12086696 12138550 13204600 15108370 24277100 30216740 37770925 48554200 60433480 75541850 151083700 155616211 302167400 311232422 622464844 778081055 1244929688 1556162110 3112324220 3890405275 6224648440 7780810550 15561621100 31123242200