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102022000220202 = 231927128167717359
BaseRepresentation
bin10111001100100111011001…
…000101010001100000101010
3111101020012121121110100210020
4113030213121011101200222
5101333012024024021302
61000552132044501310
730326563162344066
oct2714473105214052
9441205547410706
10102022000220202
112a564318464027
12b53866954a836
1344c08305a859a
141b29c6949caa6
15bbdc5de20ebc
hex5cc9d915182a

102022000220202 has 128 divisors (see below), whose sum is σ = 216674931916800. Its totient is φ = 31935276172800.

The previous prime is 102022000220167. The next prime is 102022000220209. The reversal of 102022000220202 is 202022000220201.

It is not an unprimeable number, because it can be changed into a prime (102022000220209) 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, 5877173199 + ... + 5877190557.

It is an arithmetic number, because the mean of its divisors is an integer number (1692772905600).

Almost surely, 2102022000220202 is an apocalyptic number.

102022000220202 is an abundant number, since it is smaller than the sum of its proper divisors (114652931696598).

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

102022000220202 is a wasteful number, since it uses less digits than its factorization.

102022000220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 102022000220202 its reverse (202022000220201), we get a palindrome (304044000440403).

Subtracting 102022000220202 from its reverse (202022000220201), we obtain a palindrome (99999999999999).

The spelling of 102022000220202 in words is "one hundred two trillion, twenty-two billion, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 19 38 57 114 271 281 542 562 677 813 843 1354 1626 1686 2031 4062 5149 5339 10298 10678 12863 15447 16017 17359 25726 30894 32034 34718 38589 52077 76151 77178 104154 152302 183467 190237 228453 329821 366934 380474 456906 550401 570711 659642 989463 1100802 1141422 1446869 1978926 2893738 3485873 3614503 4340607 4704289 4877879 6971746 7229006 8681214 9408578 9755758 10457619 10843509 11752043 14112867 14633637 20915238 21687018 23504086 28225734 29267274 35256129 51554227 70512258 89381491 92679701 103108454 154662681 178762982 185359402 223288817 268144473 278039103 309325362 446577634 536288946 556078206 669866451 979530313 1321905209 1339732902 1959060626 2643810418 2938590939 3184803653 3302324083 3965715627 5877181878 6369607306 6604648166 7931431254 9554410959 9906972249 19108821918 19813944498 25116198971 50232397942 60511269407 62744157577 75348596913 121022538814 125488315154 150697193826 181533808221 188232472731 363067616442 376464945462 894929826493 1789859652986 2684789479479 5369578958958 17003666703367 34007333406734 51011000110101 102022000220202