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122023545030 = 232517334323857
BaseRepresentation
bin111000110100100101…
…0111000100011000110
3102122222000211100102200
41301221022320203012
53444401011420110
6132020140015330
711546600006412
oct1615112704306
9378860740380
10122023545030
1147828123492
121b795531546
13b6784b65aa
145c97dadd42
1532929696c0
hex1c692b88c6

122023545030 has 96 divisors (see below), whose sum is σ = 336038212224. Its totient is φ = 30615072768.

The previous prime is 122023544987. The next prime is 122023545031. The reversal of 122023545030 is 30545320221.

It is a happy number.

122023545030 is a `hidden beast` number, since 1 + 2 + 202 + 3 + 5 + 450 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122023544985 and 122023545003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122023545031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5102862 + ... + 5126718.

It is an arithmetic number, because the mean of its divisors is an integer number (3500398044).

Almost surely, 2122023545030 is an apocalyptic number.

122023545030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122023545030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168019106112).

122023545030 is an abundant number, since it is smaller than the sum of its proper divisors (214014667194).

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

122023545030 is a wasteful number, since it uses less digits than its factorization.

122023545030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27230 (or 27227 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 122023545030 its reverse (30545320221), we get a palindrome (152568865251).

The spelling of 122023545030 in words is "one hundred twenty-two billion, twenty-three million, five hundred forty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 3343 6686 10029 16715 20058 23857 30087 33430 47714 50145 56831 60174 71571 100290 113662 119285 143142 150435 170493 214713 238570 284155 300870 340986 357855 405569 429426 511479 568310 715710 811138 852465 1022958 1073565 1216707 1704930 2027845 2147130 2433414 2557395 3650121 4055690 5114790 6083535 7300242 12167070 18250605 36501210 79753951 159507902 239261853 398769755 478523706 717785559 797539510 1196309265 1355817167 1435571118 2392618530 2711634334 3588927795 4067451501 6779085835 7177855590 8134903002 12202354503 13558171670 20337257505 24404709006 40674515010 61011772515 122023545030