Search a number
-
+
20101405440125 = 531721997130161
BaseRepresentation
bin1001001001000001110010…
…01000010111100001111101
32122011200020111200121022102
410210200321020113201331
510113320134243041000
6110430242544354445
74143164365031312
oct444407110274175
978150214617272
1020101405440125
11644aa5a3680a9
122307954015a25
13b2a729028149
144d6cadc08d09
1524cd3c68c3d5
hex12483921787d

20101405440125 has 96 divisors (see below), whose sum is σ = 28081439717760. Its totient is φ = 14323345920000.

The previous prime is 20101405440071. The next prime is 20101405440167. The reversal of 20101405440125 is 52104450410102.

It is a happy number.

It is not a de Polignac number, because 20101405440125 - 230 = 20100331698301 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666455045 + ... + 666485205.

It is an arithmetic number, because the mean of its divisors is an integer number (292514997060).

Almost surely, 220101405440125 is an apocalyptic number.

20101405440125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20101405440125 is a deficient number, since it is larger than the sum of its proper divisors (7980034277635).

20101405440125 is a wasteful number, since it uses less digits than its factorization.

20101405440125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31200 (or 31173 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 20101405440125 its reverse (52104450410102), we get a palindrome (72205855850227).

The spelling of 20101405440125 in words is "twenty trillion, one hundred one billion, four hundred five million, four hundred forty thousand, one hundred twenty-five".

Divisors: 1 5 17 19 25 85 95 125 289 323 425 475 971 1445 1615 2125 2375 4855 5491 7225 8075 16507 18449 24275 27455 30161 36125 40375 82535 92245 121375 137275 150805 280619 313633 412675 461225 512737 573059 686375 754025 1403095 1568165 2063375 2306125 2563685 2865295 3770125 5331761 7015475 7840825 8716529 9742003 12818425 14326475 26658805 29286331 35077375 39204125 43582645 48710015 64092125 71632375 133294025 146431655 165614051 217913225 243550075 497867627 556440289 666470125 732158275 828070255 1089566125 1217750375 2489338135 2782201445 3660791375 4140351275 8463749659 9459484913 12446690675 13911007225 20701756375 42318748295 47297424565 62233453375 69555036125 160811243521 211593741475 236487122825 804056217605 1057968707375 1182435614125 4020281088025 20101405440125