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100940310 = 23351732161
BaseRepresentation
bin1100000010000…
…11101000010110
321000221022002000
412001003220112
5201320042220
614003300130
72333656422
oct601035026
9230838060
10100940310
1151a83a49
122997a646
1317bb27c3
14d597b82
158cdd390
hex6043a16

100940310 has 64 divisors (see below), whose sum is σ = 270855360. Its totient is φ = 26749440.

The previous prime is 100940297. The next prime is 100940363. The reversal of 100940310 is 13049001.

It is a super-2 number, since 2×1009403102 = 20377892365792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45630 + ... + 47790.

It is an arithmetic number, because the mean of its divisors is an integer number (4232115).

Almost surely, 2100940310 is an apocalyptic number.

100940310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100940310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135427680).

100940310 is an abundant number, since it is smaller than the sum of its proper divisors (169915050).

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

100940310 is a wasteful number, since it uses less digits than its factorization.

100940310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100940310 is about 10046.9054937329. The cubic root of 100940310 is about 465.6091911513.

Adding to 100940310 its reverse (13049001), we get a palindrome (113989311).

The spelling of 100940310 in words is "one hundred million, nine hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 173 270 346 519 865 1038 1557 1730 2161 2595 3114 4322 4671 5190 6483 7785 9342 10805 12966 15570 19449 21610 23355 32415 38898 46710 58347 64830 97245 116694 194490 291735 373853 583470 747706 1121559 1869265 2243118 3364677 3738530 5607795 6729354 10094031 11215590 16823385 20188062 33646770 50470155 100940310