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10142222153124 = 22343831791322977
BaseRepresentation
bin1001001110010110101110…
…0011000111010110100100
31022220120211220022012121010
42103211223203013112210
52312132232332344444
633323134511222220
72064515501610165
oct223455343072644
938816756265533
1010142222153124
113260323aa8746
121179769817970
1358753b207309
14270c5992376c
15128c50caa2b9
hex9396b8c75a4

10142222153124 has 96 divisors (see below), whose sum is σ = 24644222507520. Its totient is φ = 3244106492928.

The previous prime is 10142222153123. The next prime is 10142222153131. The reversal of 10142222153124 is 42135122224101.

10142222153124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10142222153091 and 10142222153100.

It is not an unprimeable number, because it can be changed into a prime (10142222153123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7004724 + ... + 8327700.

It is an arithmetic number, because the mean of its divisors is an integer number (256710651120).

Almost surely, 210142222153124 is an apocalyptic number.

It is an amenable number.

10142222153124 is an abundant number, since it is smaller than the sum of its proper divisors (14502000354396).

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

10142222153124 is a wasteful number, since it uses less digits than its factorization.

10142222153124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323289 (or 1323287 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10142222153124 its reverse (42135122224101), we get a palindrome (52277344377225).

The spelling of 10142222153124 in words is "ten trillion, one hundred forty-two billion, two hundred twenty-two million, one hundred fifty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 43 83 86 129 166 172 179 249 258 332 358 498 516 537 716 996 1074 2148 3569 7138 7697 10707 14276 14857 15394 21414 23091 29714 30788 42828 44571 46182 59428 89142 92364 178284 638851 1277702 1322977 1916553 2555404 2645954 3833106 3968931 5291908 7666212 7937862 15875724 56888011 109807091 113776022 170664033 219614182 227552044 236812883 329421273 341328066 439228364 473625766 658842546 682656132 710438649 947251532 1317685092 1420877298 2841754596 4721704913 9443409826 10182953969 14165114739 18886819652 19655469289 20365907938 28330229478 30548861907 39310938578 40731815876 56660458956 58966407867 61097723814 78621877156 117932815734 122195447628 235865631468 845185179427 1690370358854 2535555538281 3380740717708 5071111076562 10142222153124