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102022350540 = 223511379407861
BaseRepresentation
bin101111100000100000…
…0011000011011001100
3100202100010001101122120
41133001000120123030
53132420210204130
6114511325012540
710241131446135
oct1370100303314
9322303041576
10102022350540
113a2a3a58a90
12179330b4150
13980b7b1076
144d1b896c8c
1529c1a64910
hex17c10186cc

102022350540 has 96 divisors (see below), whose sum is σ = 312454920960. Its totient is φ = 24667372800.

The previous prime is 102022350511. The next prime is 102022350541. The reversal of 102022350540 is 45053220201.

It is a self number, because there is not a number n which added to its sum of digits gives 102022350540.

It is not an unprimeable number, because it can be changed into a prime (102022350541) 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, 46210 + ... + 454070.

It is an arithmetic number, because the mean of its divisors is an integer number (3254738760).

Almost surely, 2102022350540 is an apocalyptic number.

102022350540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022350540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156227460480).

102022350540 is an abundant number, since it is smaller than the sum of its proper divisors (210432570420).

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

102022350540 is a wasteful number, since it uses less digits than its factorization.

102022350540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408263 (or 408261 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 102022350540 its reverse (45053220201), we get a palindrome (147075570741).

The spelling of 102022350540 in words is "one hundred two billion, twenty-two million, three hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 379 660 758 1137 1516 1895 2274 3790 4169 4548 5685 7580 8338 11370 12507 16676 20845 22740 25014 41690 50028 62535 83380 125070 250140 407861 815722 1223583 1631444 2039305 2447166 4078610 4486471 4894332 6117915 8157220 8972942 12235830 13459413 17945884 22432355 24471660 26918826 44864710 53837652 67297065 89729420 134594130 154579319 269188260 309158638 463737957 618317276 772896595 927475914 1545793190 1700372509 1854951828 2318689785 3091586380 3400745018 4637379570 5101117527 6801490036 8501862545 9274759140 10202235054 17003725090 20404470108 25505587635 34007450180 51011175270 102022350540