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38022106143 = 3717315958231
BaseRepresentation
bin100011011010010010…
…110100110000011111
310122010211022010012110
4203122102310300133
51110332124344033
625244521405103
72514136366260
oct433222646037
9118124263173
1038022106143
111514154011a
127451639793
13377c378178
141ba9a28967
15ec803e363
hex8da4b4c1f

38022106143 has 64 divisors (see below), whose sum is σ = 64399933440. Its totient is φ = 19453478400.

The previous prime is 38022106141. The next prime is 38022106147. The reversal of 38022106143 is 34160122083.

38022106143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38022106143 - 21 = 38022106141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38022106143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38022106141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623838 + ... + 682068.

It is an arithmetic number, because the mean of its divisors is an integer number (1006248960).

Almost surely, 238022106143 is an apocalyptic number.

38022106143 is a deficient number, since it is larger than the sum of its proper divisors (26377827297).

38022106143 is a wasteful number, since it uses less digits than its factorization.

38022106143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58348.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 38022106143 in words is "thirty-eight billion, twenty-two million, one hundred six thousand, one hundred forty-three".

Divisors: 1 3 7 17 21 31 51 59 93 119 177 217 357 413 527 651 1003 1239 1581 1829 3009 3689 5487 7021 11067 12803 21063 31093 38409 58231 93279 174693 217651 407617 652953 989927 1222851 1805161 2969781 3435629 5415483 6929489 10306887 12636127 20788467 24049403 30687737 37908381 58405693 72148209 92063211 106504499 175217079 214814159 319513497 408839851 644442477 745531493 1226519553 1810576483 2236594479 5431729449 12674035381 38022106143