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10142422224 = 24311171959471
BaseRepresentation
bin10010111001000100…
…10001010011010000
3222011211202102200120
421130202101103100
5131232430002344
64354231150240
7506224111044
oct113442212320
928154672616
1010142422224
114335150a30
121b70815380
13c5836518c
146c3038024
153e5642219
hex25c8914d0

10142422224 has 160 divisors (see below), whose sum is σ = 31857960960. Its totient is φ = 2740377600.

The previous prime is 10142422193. The next prime is 10142422231. The reversal of 10142422224 is 42222424101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10142422194 and 10142422203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140809 + ... + 200279.

It is an arithmetic number, because the mean of its divisors is an integer number (199112256).

Almost surely, 210142422224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928980480).

10142422224 is an abundant number, since it is smaller than the sum of its proper divisors (21715538736).

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

10142422224 is a wasteful number, since it uses less digits than its factorization.

10142422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59529 (or 59523 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10142422224 its reverse (42222424101), we get a palindrome (52364846325).

The spelling of 10142422224 in words is "ten billion, one hundred forty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 88 102 114 132 136 152 176 187 204 209 228 264 272 304 323 374 408 418 456 528 561 627 646 748 816 836 912 969 1122 1254 1292 1496 1672 1938 2244 2508 2584 2992 3344 3553 3876 4488 5016 5168 7106 7752 8976 10032 10659 14212 15504 21318 28424 42636 56848 59471 85272 118942 170544 178413 237884 356826 475768 654181 713652 951536 1011007 1129949 1308362 1427304 1962543 2022014 2259898 2616724 2854608 3033021 3389847 3925086 4044028 4519796 5233448 6066042 6779694 7850172 8088056 9039592 10466896 11121077 12132084 12429439 13559388 15700344 16176112 18079184 19209133 22242154 24264168 24858878 27118776 31400688 33363231 37288317 38418266 44484308 48528336 49717756 54237552 57627399 66726462 74576634 76836532 88968616 99435512 115254798 133452924 149153268 153673064 177937232 198871024 211300463 230509596 266905848 298306536 307346128 422600926 461019192 533811696 596613072 633901389 845201852 922038384 1267802778 1690403704 2535605556 3380807408 5071211112 10142422224