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100032001320000 = 26354833600011
BaseRepresentation
bin10110101111101010000011…
…111001111010010001000000
3111010011222002011110000120210
4112233222003321322101000
5101102411014314220000
6552430022250034120
730033034146651261
oct2657520371722100
9433158064400523
10100032001320000
1129967373a09582
12b276a56a18940
1343a7c92028159
141a9b808d7a968
15b870dde6c350
hex5afa83e7a440

100032001320000 has 140 divisors (see below), whose sum is σ = 330729137560976. Its totient is φ = 26675200320000.

The previous prime is 100032001319981. The next prime is 100032001320061. The reversal of 100032001320000 is 23100230001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 416680006 + ... + 416920005.

Almost surely, 2100032001320000 is an apocalyptic number.

100032001320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032001320000 is an abundant number, since it is smaller than the sum of its proper divisors (230697136240976).

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

100032001320000 is an frugal number, since it uses more digits than its factorization.

100032001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833600046 (or 833600021 counting only the distinct ones).

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

Adding to 100032001320000 its reverse (23100230001), we get a palindrome (100055101550001).

The spelling of 100032001320000 in words is "one hundred trillion, thirty-two billion, one million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 833600011 1667200022 2500800033 3334400044 4168000055 5001600066 6668800088 8336000110 10003200132 12504000165 13337600176 16672000220 20006400264 20840000275 25008000330 26675200352 33344000440 40012800528 41680000550 50016000660 53350400704 62520000825 66688000880 80025601056 83360001100 100032001320 104200001375 125040001650 133376001760 160051202112 166720002200 200064002640 208400002750 250080003300 266752003520 312600004125 333440004400 400128005280 416800005500 500160006600 521000006875 625200008250 666880008800 800256010560 833600011000 1000320013200 1042000013750 1250400016500 1333760017600 1563000020625 1667200022000 2000640026400 2084000027500 2500800033000 3126000041250 3334400044000 4001280052800 4168000055000 5001600066000 6252000082500 6668800088000 8336000110000 10003200132000 12504000165000 16672000220000 20006400264000 25008000330000 33344000440000 50016000660000 100032001320000