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102022120944 = 24331713891901
BaseRepresentation
bin101111100000011111…
…1100000010111110000
3100202100002121201201000
41133000333200113300
53132420130332234
6114511320042000
710241126501562
oct1370077402760
9322302551630
10102022120944
113a2a3911537
1217933003300
13980b730703
144d1b837332
1529c1a1b899
hex17c0fe05f0

102022120944 has 80 divisors (see below), whose sum is σ = 310067252640. Its totient is φ = 32006937600.

The previous prime is 102022120943. The next prime is 102022121021. The reversal of 102022120944 is 449021220201.

It is a super-2 number, since 2×1020221209442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022120943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6938607 + ... + 6953294.

It is an arithmetic number, because the mean of its divisors is an integer number (3875840658).

Almost surely, 2102022120944 is an apocalyptic number.

It is an amenable number.

102022120944 is an abundant number, since it is smaller than the sum of its proper divisors (208045131696).

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

102022120944 is a wasteful number, since it uses less digits than its factorization.

102022120944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13891935 (or 13891923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 102022120944 in words is "one hundred two billion, twenty-two million, one hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 13891901 27783802 41675703 55567604 83351406 111135208 125027109 166702812 222270416 236162317 250054218 333405624 375081327 472324634 500108436 666811248 708486951 750162654 944649268 1000216872 1416973902 1500325308 1889298536 2000433744 2125460853 2833947804 3000650616 3778597072 4250921706 5667895608 6001301232 6376382559 8501843412 11335791216 12752765118 17003686824 25505530236 34007373648 51011060472 102022120944