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100001353100 = 225211312932591
BaseRepresentation
bin101110100100010001…
…0111000110110001100
3100120010021012002100112
41131020202320312030
53114300321244400
6113535012015152
710140061322255
oct1351042706614
9316107162315
10100001353100
113945717a770
121746a3014b8
139578b945ac
144ba92d3b2c
152904405835
hex17488b8d8c

100001353100 has 72 divisors (see below), whose sum is σ = 244367026176. Its totient is φ = 35191080000.

The previous prime is 100001353063. The next prime is 100001353139. The reversal of 100001353100 is 1353100001.

It is a super-2 number, since 2×1000013531002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432196 + ... + 1500395.

Almost surely, 2100001353100 is an apocalyptic number.

100001353100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001353100 is an abundant number, since it is smaller than the sum of its proper divisors (144365673076).

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

100001353100 is a wasteful number, since it uses less digits than its factorization.

100001353100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932647 (or 2932640 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

Adding to 100001353100 its reverse (1353100001), we get a palindrome (101354453101).

The spelling of 100001353100 in words is "one hundred billion, one million, three hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 2932591 5865182 11730364 14662955 29325910 32258501 58651820 64517002 73314775 90910321 129034004 146629550 161292505 181820642 293259100 322585010 363641284 454551605 645170020 806462525 909103210 1000013531 1612925050 1818206420 2000027062 2272758025 3225850100 4000054124 4545516050 5000067655 9091032100 10000135310 20000270620 25000338275 50000676550 100001353100