Search a number
-
+
102120001220120 = 235131371433464363
BaseRepresentation
bin10111001110000010101010…
…011001011010111000011000
3111101120120120110121222102212
4113032002222121122320120
5101341113230303020440
61001105140402214252
730336632554164032
oct2716025231327030
9441516513558385
10102120001220120
112a5a1938475844
12b553659954388
1344c9b4ac00b30
141b308c4c44c52
15bc15978e4465
hex5ce0aa65ae18

102120001220120 has 64 divisors (see below), whose sum is σ = 249250783612320. Its totient is φ = 37430621420544.

The previous prime is 102120001220047. The next prime is 102120001220131. The reversal of 102120001220120 is 21022100021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120001220095 and 102120001220104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716660942 + ... + 716803421.

Almost surely, 2102120001220120 is an apocalyptic number.

102120001220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120001220120 is an abundant number, since it is smaller than the sum of its proper divisors (147130782392200).

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

102120001220120 is a wasteful number, since it uses less digits than its factorization.

102120001220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433464524 (or 1433464520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120001220120 its reverse (21022100021201), we get a palindrome (123142101241321).

The spelling of 102120001220120 in words is "one hundred two trillion, one hundred twenty billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 260 274 520 548 685 1096 1370 1781 2740 3562 5480 7124 8905 14248 17810 35620 71240 1433464363 2866928726 5733857452 7167321815 11467714904 14334643630 18635036719 28669287260 37270073438 57338574520 74540146876 93175183595 149080293752 186350367190 196384617731 372700734380 392769235462 745401468760 785538470924 981923088655 1571076941848 1963846177310 2553000030503 3927692354620 5106000061006 7855384709240 10212000122012 12765000152515 20424000244024 25530000305030 51060000610060 102120001220120