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214153120100 = 22525936297139
BaseRepresentation
bin1100011101110010000…
…1010100100101100100
3202110202200212200100202
43013130201110211210
512002041144320400
6242214112330032
721320625325553
oct3073441244544
9673680780322
10214153120100
1182904942877
1235607543918
131726b58015a
14a517a55d9a
155885c514d5
hex31dc854964

214153120100 has 36 divisors (see below), whose sum is σ = 472588762800. Its totient is φ = 84209360160.

The previous prime is 214153120099. The next prime is 214153120109. The reversal of 214153120100 is 1021351412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (214153120109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18142670 + ... + 18154469.

Almost surely, 2214153120100 is an apocalyptic number.

214153120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214153120100 is an abundant number, since it is smaller than the sum of its proper divisors (258435642700).

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

214153120100 is a wasteful number, since it uses less digits than its factorization.

214153120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36297212 (or 36297205 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 214153120100 its reverse (1021351412), we get a palindrome (215174471512).

The spelling of 214153120100 in words is "two hundred fourteen billion, one hundred fifty-three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 36297139 72594278 145188556 181485695 362971390 725942780 907428475 1814856950 2141531201 3629713900 4283062402 8566124804 10707656005 21415312010 42830624020 53538280025 107076560050 214153120100