Search a number
-
+
122330320100 = 225219292220151
BaseRepresentation
bin111000111101101110…
…1001000110011100100
3102200202102002010201022
41301323131020303210
54001013030220400
6132110415150312
711560313364362
oct1617335106344
9380672063638
10122330320100
11479753050aa
121b860215398
13b6c6c170c1
145cc6a28632
1532ae865b85
hex1c7b748ce4

122330320100 has 72 divisors (see below), whose sum is σ = 289063790400. Its totient is φ = 44758224000.

The previous prime is 122330320069. The next prime is 122330320103. The reversal of 122330320100 is 1023033221.

It is not an unprimeable number, because it can be changed into a prime (122330320103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054976 + ... + 1165175.

Almost surely, 2122330320100 is an apocalyptic number.

122330320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122330320100 is an abundant number, since it is smaller than the sum of its proper divisors (166733470300).

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

122330320100 is a wasteful number, since it uses less digits than its factorization.

122330320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220213 (or 2220206 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 122330320100 its reverse (1023033221), we get a palindrome (123353353321).

The spelling of 122330320100 in words is "one hundred twenty-two billion, three hundred thirty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13775 27550 55100 2220151 4440302 8880604 11100755 22201510 42182869 44403020 55503775 64384379 84365738 111007550 128768758 168731476 210914345 222015100 257537516 321921895 421828690 643843790 843657380 1054571725 1223303201 1287687580 1609609475 2109143450 2446606402 3219218950 4218286900 4893212804 6116516005 6438437900 12233032010 24466064020 30582580025 61165160050 122330320100