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122307411930 = 235111455125471
BaseRepresentation
bin111000111101000010…
…1101111111111011010
3102200200210222021121120
41301322011233333122
54000441144140210
6132104240150110
711556614563614
oct1617205577732
9380623867546
10122307411930
1147963388930
121b854608336
13b6c2256082
145cc3983db4
1532ac83d270
hex1c7a16ffda

122307411930 has 64 divisors (see below), whose sum is σ = 320257622016. Its totient is φ = 29647080000.

The previous prime is 122307411929. The next prime is 122307411953. The reversal of 122307411930 is 39114703221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 122307411891 and 122307411900.

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, 4789095 + ... + 4814565.

It is an arithmetic number, because the mean of its divisors is an integer number (5004025344).

Almost surely, 2122307411930 is an apocalyptic number.

122307411930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122307411930 is an abundant number, since it is smaller than the sum of its proper divisors (197950210086).

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

122307411930 is a wasteful number, since it uses less digits than its factorization.

122307411930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40043.

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 122307411930 in words is "one hundred twenty-two billion, three hundred seven million, four hundred eleven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 14551 25471 29102 43653 50942 72755 76413 87306 127355 145510 152826 160061 218265 254710 280181 320122 382065 436530 480183 560362 764130 800305 840543 960366 1400905 1600610 1681086 2400915 2801810 4202715 4801830 8405430 370628521 741257042 1111885563 1853142605 2223771126 3706285210 4076913731 5559427815 8153827462 11118855630 12230741193 20384568655 24461482386 40769137310 61153705965 122307411930