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102222021020 = 225717103141659
BaseRepresentation
bin101111100110011101…
…0000100000110011100
3100202212000202201001112
41133030322010012130
53133322314133040
6114543220401152
710246104561620
oct1371472040634
9322760681045
10102222021020
113a396736409
1217989b461b8
139840c81392
144d3a1d1180
1529d4356365
hex17cce8419c

102222021020 has 96 divisors (see below), whose sum is σ = 260022389760. Its totient is φ = 32953144320.

The previous prime is 102222020977. The next prime is 102222021067. The reversal of 102222021020 is 20120222201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102222020986 and 102222021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2432951 + ... + 2474609.

It is an arithmetic number, because the mean of its divisors is an integer number (2708566560).

Almost surely, 2102222021020 is an apocalyptic number.

102222021020 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 102222021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130011194880).

102222021020 is an abundant number, since it is smaller than the sum of its proper divisors (157800368740).

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

102222021020 is a wasteful number, since it uses less digits than its factorization.

102222021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42723 (or 42721 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102222021020 its reverse (20120222201), we get a palindrome (122342243221).

The spelling of 102222021020 in words is "one hundred two billion, two hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1031 1190 2062 2380 4124 5155 7217 10310 14434 17527 20620 28868 35054 36085 41659 70108 72170 83318 87635 122689 144340 166636 175270 208295 245378 291613 350540 416590 490756 583226 613445 708203 833180 1166452 1226890 1416406 1458065 2453780 2832812 2916130 3541015 4957421 5832260 7082030 9914842 14164060 19829684 24787105 42950429 49574210 85900858 99148420 171801716 214752145 300653003 429504290 601306006 730157293 859008580 1202612012 1460314586 1503265015 2920629172 3006530030 3650786465 5111101051 6013060060 7301572930 10222202102 14603145860 20444404204 25555505255 51111010510 102222021020