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102022010011000 = 23533110132584481
BaseRepresentation
bin10111001100100111011001…
…101010100111110101111000
3111101020012122021212210020101
4113030213121222213311320
5101333012034030323000
61000552133034405144
730326563341512512
oct2714473152476570
9441205567783211
10102022010011000
112a564322a40aa2
12b5386708907b4
1344c0832625b61
141b29c6a8cabb2
15bbdc5ec06e6a
hex5cc9d9aa7d78

102022010011000 has 128 divisors (see below), whose sum is σ = 248872453240320. Its totient is φ = 39101376000000.

The previous prime is 102022010010917. The next prime is 102022010011007. The reversal of 102022010011000 is 110010220201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022010011007) 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, 13161241 + ... + 19423240.

It is an arithmetic number, because the mean of its divisors is an integer number (1944316040940).

Almost surely, 2102022010011000 is an apocalyptic number.

102022010011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022010011000 is an abundant number, since it is smaller than the sum of its proper divisors (146850443229320).

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

102022010011000 is a wasteful number, since it uses less digits than its factorization.

102022010011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32584634 (or 32584620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102022010011000 its reverse (110010220201), we get a palindrome (102132020231201).

The spelling of 102022010011000 in words is "one hundred two trillion, twenty-two billion, ten million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 101 124 125 155 200 202 248 250 310 404 500 505 620 775 808 1000 1010 1240 1550 2020 2525 3100 3131 3875 4040 5050 6200 6262 7750 10100 12524 12625 15500 15655 20200 25048 25250 31000 31310 50500 62620 78275 101000 125240 156550 313100 391375 626200 782750 1565500 3131000 32584481 65168962 130337924 162922405 260675848 325844810 651689620 814612025 1010118911 1303379240 1629224050 2020237822 3258448100 3291032581 4040475644 4073060125 5050594555 6516896200 6582065162 8080951288 8146120250 10101189110 13164130324 16292240500 16455162905 20202378220 25252972775 26328260648 32584481000 32910325810 40404756440 50505945550 65820651620 82275814525 101011891100 102022010011 126264863875 131641303240 164551629050 202023782200 204044020022 252529727750 329103258100 408088040044 411379072625 505059455500 510110050055 658206516200 816176080088 822758145250 1010118911000 1020220100110 1645516290500 2040440200220 2550550250275 3291032581000 4080880400440 5101100500550 10202201001100 12752751251375 20404402002200 25505502502750 51011005005500 102022010011000