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102022102111221 = 32477113992428163
BaseRepresentation
bin10111001100100111011111…
…001001111101001111110101
3111101020012212201011221222200
4113030213133021331033311
5101333012231120024341
61000552150124415113
730326565540403335
oct2714473711751765
9441205781157880
10102022102111221
112a56436aa27286
12b5386976a7499
1344c0848731a26
141b29c78c230c5
15bbdc67d4adb6
hex5cc9df27d3f5

102022102111221 has 48 divisors (see below), whose sum is σ = 152729573068800. Its totient is φ = 65583101596320.

The previous prime is 102022102111211. The next prime is 102022102111231. The reversal of 102022102111221 is 122111201220201.

102022102111221 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 210 + 211 + 1 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (102022102111211) and next prime (102022102111231).

It is not a de Polignac number, because 102022102111221 - 26 = 102022102111157 is a prime.

It is a super-2 number, since 2×1020221021112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022102111194 and 102022102111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022102111211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40802086 + ... + 43230248.

It is an arithmetic number, because the mean of its divisors is an integer number (3181866105600).

Almost surely, 2102022102111221 is an apocalyptic number.

It is an amenable number.

102022102111221 is a deficient number, since it is larger than the sum of its proper divisors (50707470957579).

102022102111221 is a wasteful number, since it uses less digits than its factorization.

102022102111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429686 (or 2429683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102022102111221 its reverse (122111201220201), we get a palindrome (224133303331422).

The spelling of 102022102111221 in words is "one hundred two trillion, twenty-two billion, one hundred two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 47 71 141 213 423 639 1399 3337 4197 10011 12591 30033 65753 99329 197259 297987 591777 893961 2428163 4668463 7284489 14005389 21853467 42016167 114123661 172399573 342370983 517198719 1027112949 1551596157 3397000037 8102779931 10191000111 24308339793 30573000333 72925019379 159659001739 241187002627 478977005217 723561007881 1436931015651 2170683023643 11335789123469 34007367370407 102022102111221