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122103100320 = 2535254381459
BaseRepresentation
bin111000110110111101…
…0010111001110100000
3102200011120112011202220
41301231322113032200
54000031343202240
6132032101111040
711551554141135
oct1615572271640
9380146464686
10122103100320
1147869020563
121b7b80b8480
13b68bb1c426
145ca479c58c
1532999315d0
hex1c6de973a0

122103100320 has 48 divisors (see below), whose sum is σ = 384624767520. Its totient is φ = 32560826624.

The previous prime is 122103100319. The next prime is 122103100349. The reversal of 122103100320 is 23001301221.

122103100320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122103100320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127190250 + ... + 127191209.

It is an arithmetic number, because the mean of its divisors is an integer number (8013015990).

Almost surely, 2122103100320 is an apocalyptic number.

122103100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122103100320 is an abundant number, since it is smaller than the sum of its proper divisors (262521667200).

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

122103100320 is a wasteful number, since it uses less digits than its factorization.

122103100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254381477 (or 254381469 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122103100320 its reverse (23001301221), we get a palindrome (145104401541).

The spelling of 122103100320 in words is "one hundred twenty-two billion, one hundred three million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 254381459 508762918 763144377 1017525836 1271907295 1526288754 2035051672 2543814590 3052577508 3815721885 4070103344 5087629180 6105155016 7631443770 8140206688 10175258360 12210310032 15262887540 20350516720 24420620064 30525775080 40701033440 61051550160 122103100320