Search a number
-
+
102020120400132 = 223211859299914513
BaseRepresentation
bin10111001100100101101001…
…000010010101000100000100
3111101020000202121020121102200
4113030211221002111010010
5101332444201310301012
61000551221333434500
730326465455213104
oct2714455102250404
9441200677217380
10102020120400132
112a563543341420
12b538223a9ba30
1344c05c0cbc00c
141b29b2b969204
15bbdb9dd9c3dc
hex5cc969095104

102020120400132 has 72 divisors (see below), whose sum is σ = 281655718387680. Its totient is φ = 30879198155520.

The previous prime is 102020120400103. The next prime is 102020120400173. The reversal of 102020120400132 is 231004021020201.

It is a happy number.

102020120400132 is a `hidden beast` number, since 10 + 2 + 0 + 2 + 0 + 120 + 400 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149617093 + ... + 150297420.

Almost surely, 2102020120400132 is an apocalyptic number.

102020120400132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102020120400132 is an abundant number, since it is smaller than the sum of its proper divisors (179635597987548).

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

102020120400132 is a wasteful number, since it uses less digits than its factorization.

102020120400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299915393 (or 299915388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102020120400132 its reverse (231004021020201), we get a palindrome (333024141420333).

The spelling of 102020120400132 in words is "one hundred two trillion, twenty billion, one hundred twenty million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 859 1718 2577 3436 5154 7731 9449 10308 15462 18898 28347 30924 37796 56694 85041 113388 170082 340164 299914513 599829026 899743539 1199658052 1799487078 2699230617 3299059643 3598974156 5398461234 6598119286 9897178929 10796922468 13196238572 19794357858 29691536787 39588715716 59383073574 118766147148 257626566667 515253133334 772879700001 1030506266668 1545759400002 2318639100003 2833892233337 3091518800004 4637278200006 5667784466674 8501676700011 9274556400012 11335568933348 17003353400022 25505030100033 34006706800044 51010060200066 102020120400132