Search a number
-
+
101020000010121 = 3247717389517721
BaseRepresentation
bin10110111110000010001101…
…001101110011111110001001
3111020200102021111021201220100
4112332002031031303332021
5101220102430000310441
6554503540342520013
730164311526156553
oct2676021515637611
9436612244251810
10101020000010121
112a208383468755
12b3b6429736009
13444a1b6ac0baa
141ad35735444d3
15ba2b66ca4cb6
hex5be08d373f89

101020000010121 has 96 divisors (see below), whose sum is σ = 154913025346560. Its totient is φ = 63374892134400.

The previous prime is 101020000010113. The next prime is 101020000010123. The reversal of 101020000010121 is 121010000020101.

It is a happy number.

It is not a de Polignac number, because 101020000010121 - 23 = 101020000010113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101020000010123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194865541 + ... + 195383261.

It is an arithmetic number, because the mean of its divisors is an integer number (1613677347360).

Almost surely, 2101020000010121 is an apocalyptic number.

It is an amenable number.

101020000010121 is a deficient number, since it is larger than the sum of its proper divisors (53893025336439).

101020000010121 is a wasteful number, since it uses less digits than its factorization.

101020000010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518007 (or 518004 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101020000010121 its reverse (121010000020101), we get a palindrome (222030000030222).

The spelling of 101020000010121 in words is "one hundred one trillion, twenty billion, ten thousand, one hundred twenty-one".

Divisors: 1 3 9 47 71 73 89 141 213 219 267 423 639 657 801 3337 3431 4183 5183 6319 6497 10011 10293 12549 15549 18957 19491 30033 30879 37647 46647 56871 58473 243601 296993 305359 461287 517721 730803 890979 916077 1383861 1553163 2192409 2672937 2748231 4151583 4659489 21680489 24332887 36758191 37793633 46077169 65041467 72998661 110274573 113380899 138231507 195124401 218995983 330823719 340142697 414694521 1727634977 1776300751 2165626943 2683347943 3271478999 3363633337 5182904931 5328902253 6496880829 8050043829 9814436997 10090900011 15548714793 15986706759 19490642487 24150131487 29443310991 30272700033 126117353321 153759512953 158090766839 238817966927 378352059963 461278538859 474272300517 716453900781 1135056179889 1383835616577 1422816901551 2149361702343 11224444445569 33673333336707 101020000010121