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100140212000000 = 285625035053
BaseRepresentation
bin10110110001001110110101…
…110000111001010100000000
3111010120022101112221010100202
4112301032311300321110000
5101111144123233000000
6552551440040304332
730043614543365324
oct2661166560712400
9433508345833322
10100140212000000
11299a925302a027
12b293a164720a8
1343b5248904213
141aa2b52667984
15b89d23e1add5
hex5b13b5c39500

100140212000000 has 126 divisors (see below), whose sum is σ = 249858375873414. Its totient is φ = 40056083200000.

The previous prime is 100140211999991. The next prime is 100140212000021. The reversal of 100140212000000 is 212041001.

It can be written as a sum of positive squares in 7 ways, for example, as 98343239577856 + 1796972422144 = 9916816^2 + 1340512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8517527 + ... + 16517526.

Almost surely, 2100140212000000 is an apocalyptic number.

100140212000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100140212000000 is an abundant number, since it is smaller than the sum of its proper divisors (149718163873414).

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

100140212000000 is an frugal number, since it uses more digits than its factorization.

100140212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035099 (or 25035060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100140212000000 its reverse (212041001), we get a palindrome (100140424041001).

The spelling of 100140212000000 in words is "one hundred trillion, one hundred forty billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 4000000 25035053 50070106 100140212 125175265 200280424 250350530 400560848 500701060 625876325 801121696 1001402120 1251752650 1602243392 2002804240 2503505300 3129381625 3204486784 4005608480 5007010600 6258763250 6408973568 8011216960 10014021200 12517526500 15646908125 16022433920 20028042400 25035053000 31293816250 32044867840 40056084800 50070106000 62587632500 78234540625 80112169600 100140212000 125175265000 156469081250 160224339200 200280424000 250350530000 312938162500 391172703125 400560848000 500701060000 625876325000 782345406250 801121696000 1001402120000 1251752650000 1564690812500 2002804240000 2503505300000 3129381625000 4005608480000 5007010600000 6258763250000 10014021200000 12517526500000 20028042400000 25035053000000 50070106000000 100140212000000