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102221202202212 = 223601113819124529
BaseRepresentation
bin10111001111100000111010…
…011100100001111001100100
3111101221020210100010112101210
4113033200322130201321210
5101344243010230432322
61001223434430351420
730350144453301042
oct2717407234417144
9441836710115353
10102221202202212
112a63084a818525
12b56b1a195b570
134506558489a62
141b357655ad392
15bc401c2b070c
hex5cf83a721e64

102221202202212 has 48 divisors (see below), whose sum is σ = 238917021537600. Its totient is φ = 34016466969600.

The previous prime is 102221202202153. The next prime is 102221202202243. The reversal of 102221202202212 is 212202202122201.

102221202202212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022212022022122 (a number of 29 digits) contains 22 as substring.

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, 820800364 + ... + 820924892.

It is an arithmetic number, because the mean of its divisors is an integer number (4977437948700).

Almost surely, 2102221202202212 is an apocalyptic number.

102221202202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221202202212 is an abundant number, since it is smaller than the sum of its proper divisors (136695819335388).

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

102221202202212 is a wasteful number, since it uses less digits than its factorization.

102221202202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238956 (or 238954 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102221202202212 its reverse (212202202122201), we get a palindrome (314423404324413).

The spelling of 102221202202212 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 601 1202 1803 2404 3606 7212 113819 124529 227638 249058 341457 373587 455276 498116 682914 747174 1365828 1494348 68405219 74841929 136810438 149683858 205215657 224525787 273620876 299367716 410431314 449051574 820862628 898103148 14173766251 28347532502 42521298753 56695065004 85042597506 170085195012 8518433516851 17036867033702 25555300550553 34073734067404 51110601101106 102221202202212