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10222123020 = 22351073135087
BaseRepresentation
bin10011000010100100…
…10011100000001100
3222101101201122121220
421201102103200030
5131413330414040
64410155323340
7511212416634
oct114122234014
928341648556
1010222123020
11437613835a
121b93450550
13c6ba1c305
146cd8636c4
153ec6372d0
hex26149380c

10222123020 has 96 divisors (see below), whose sum is σ = 28987435008. Its totient is φ = 2691267072.

The previous prime is 10222123019. The next prime is 10222123027. The reversal of 10222123020 is 2032122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10222123027) 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, 2006917 + ... + 2012003.

It is an arithmetic number, because the mean of its divisors is an integer number (301952448).

Almost surely, 210222123020 is an apocalyptic number.

10222123020 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 10222123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493717504).

10222123020 is an abundant number, since it is smaller than the sum of its proper divisors (18765311988).

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

10222123020 is a wasteful number, since it uses less digits than its factorization.

10222123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222123020 its reverse (2032122201), we get a palindrome (12254245221).

The spelling of 10222123020 in words is "ten billion, two hundred twenty-two million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 313 321 428 535 626 642 939 1070 1252 1284 1565 1605 1878 2140 3130 3210 3756 4695 5087 6260 6420 9390 10174 15261 18780 20348 25435 30522 33491 50870 61044 66982 76305 100473 101740 133964 152610 167455 200946 305220 334910 401892 502365 544309 669820 1004730 1088618 1592231 1632927 2009460 2177236 2721545 3184462 3265854 4776693 5443090 6368924 6531708 7961155 8164635 9553386 10886180 15922310 16329270 19106772 23883465 31844620 32658540 47766930 95533860 170368717 340737434 511106151 681474868 851843585 1022212302 1703687170 2044424604 2555530755 3407374340 5111061510 10222123020