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100321214140 = 22571275642363
BaseRepresentation
bin101110101101110011…
…1000011111010111100
3100120221120001201012201
41131123213003322330
53120424212323030
6114030435441244
710151024151610
oct1353347037274
9316846051181
10100321214140
113960078a034
1217539456224
1395ca227494
144bd9997340
1529225392ca
hex175b9c3ebc

100321214140 has 48 divisors (see below), whose sum is σ = 242666790912. Its totient is φ = 34125005376.

The previous prime is 100321214089. The next prime is 100321214153. The reversal of 100321214140 is 41412123001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2803402 + ... + 2838961.

It is an arithmetic number, because the mean of its divisors is an integer number (5055558144).

Almost surely, 2100321214140 is an apocalyptic number.

100321214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100321214140 is an abundant number, since it is smaller than the sum of its proper divisors (142345576772).

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

100321214140 is a wasteful number, since it uses less digits than its factorization.

100321214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642506 (or 5642504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100321214140 its reverse (41412123001), we get a palindrome (141733337141).

The spelling of 100321214140 in words is "one hundred billion, three hundred twenty-one million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2540 3556 4445 8890 17780 5642363 11284726 22569452 28211815 39496541 56423630 78993082 112847260 157986164 197482705 394965410 716580101 789930820 1433160202 2866320404 3582900505 5016060707 7165801010 10032121414 14331602020 20064242828 25080303535 50160607070 100321214140