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100020123 = 33721923173
BaseRepresentation
bin1011111011000…
…10111110011011
320222012112211000
411331202332123
5201101120443
613531440043
72323104600
oct575427633
9228175730
10100020123
1151505665
12295b6023
131794ca08
14d3d86a7
158baa8d3
hex5f62f9b

100020123 has 96 divisors (see below), whose sum is σ = 190425600. Its totient is φ = 51492672.

The previous prime is 100020121. The next prime is 100020131. The reversal of 100020123 is 321020001.

It is a happy number.

It is not a de Polignac number, because 100020123 - 21 = 100020121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100020121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578065 + ... + 578237.

It is an arithmetic number, because the mean of its divisors is an integer number (1983600).

Almost surely, 2100020123 is an apocalyptic number.

100020123 is a deficient number, since it is larger than the sum of its proper divisors (90405477).

100020123 is a wasteful number, since it uses less digits than its factorization.

100020123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100020123 is about 10001.0060993882. The cubic root of 100020123 is about 464.1900155038.

Adding to 100020123 its reverse (321020001), we get a palindrome (421040124).

The spelling of 100020123 in words is "one hundred million, twenty thousand, one hundred twenty-three".

Divisors: 1 3 7 9 19 21 23 27 49 57 63 69 133 147 161 171 173 189 207 399 437 441 483 513 519 621 931 1127 1197 1211 1311 1323 1449 1557 2793 3059 3287 3381 3591 3633 3933 3979 4347 4671 8379 8477 9177 9861 10143 10899 11799 11937 21413 23009 25137 25431 27531 27853 29583 30429 32697 35811 64239 69027 75601 76293 82593 83559 88749 107433 161063 192717 194971 207081 226803 228879 250677 483189 529207 578151 584913 621243 680409 752031 1449567 1587621 1754739 2041227 3704449 4348701 4762863 5264217 11113347 14288589 33340041 100020123