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122300010320 = 24510331479913
BaseRepresentation
bin111000111100110100…
…1100000111101010000
3102200200022001020111212
41301321221200331100
54000432300312240
6132103413355252
711556464635565
oct1617151407520
9380608036455
10122300010320
114795a1929a4
121b852038b28
13b6c0864117
145cc29b886c
1532abd7a165
hex1c79a60f50

122300010320 has 40 divisors (see below), whose sum is σ = 284622980136. Its totient is φ = 48872613888.

The previous prime is 122300010317. The next prime is 122300010337. The reversal of 122300010320 is 23010003221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64471303744 + 57828706576 = 253912^2 + 240476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 122300010295 and 122300010304.

It is a congruent number.

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, 657317 + ... + 822596.

Almost surely, 2122300010320 is an apocalyptic number.

122300010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122300010320 is an abundant number, since it is smaller than the sum of its proper divisors (162322969816).

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

122300010320 is a wasteful number, since it uses less digits than its factorization.

122300010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480959 (or 1480953 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 122300010320 its reverse (23010003221), we get a palindrome (145310013541).

The spelling of 122300010320 in words is "one hundred twenty-two billion, three hundred million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1033 2066 4132 5165 8264 10330 16528 20660 41320 82640 1479913 2959826 5919652 7399565 11839304 14799130 23678608 29598260 59196520 118393040 1528750129 3057500258 6115000516 7643750645 12230001032 15287501290 24460002064 30575002580 61150005160 122300010320