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331400100 = 223522348029
BaseRepresentation
bin10011110000001…
…100001110100100
3212002120212110210
4103300030032210
51134314300400
652515015420
711132566023
oct2360141644
9762525423
10331400100
11160080889
1292b9a570
1353873145
14320288ba
151e162950
hex13c0c3a4

331400100 has 72 divisors (see below), whose sum is σ = 1000560960. Its totient is φ = 84529280.

The previous prime is 331400093. The next prime is 331400101. The reversal of 331400100 is 1004133.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (331400101) 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, 17115 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (13896680).

Almost surely, 2331400100 is an apocalyptic number.

331400100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331400100 is an abundant number, since it is smaller than the sum of its proper divisors (669160860).

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

331400100 is a wasteful number, since it uses less digits than its factorization.

331400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48069 (or 48062 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 331400100 is about 18204.3978203070. The cubic root of 331400100 is about 692.0182454788.

Adding to 331400100 its reverse (1004133), we get a palindrome (332404233).

The spelling of 331400100 in words is "three hundred thirty-one million, four hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 48029 96058 144087 192116 240145 288174 480290 576348 720435 960580 1104667 1200725 1440870 2209334 2401450 2881740 3314001 3602175 4418668 4802900 5523335 6628002 7204350 11046670 13256004 14408700 16570005 22093340 27616675 33140010 55233350 66280020 82850025 110466700 165700050 331400100