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1220214104031 = 3132193350887
BaseRepresentation
bin10001110000011010011…
…011011001111111011111
311022122120211002222202010
4101300122123121333133
5124442444302312111
62332320355002303
7154105020515646
oct21603233317737
94278524088663
101220214104031
1143054306169a
1217859b299393
138b0b1447500
14430b702435d
1521b19649aa6
hex11c1a6d9fdf

1220214104031 has 48 divisors (see below), whose sum is σ = 1859594115840. Its totient is φ = 711377855136.

The previous prime is 1220214104009. The next prime is 1220214104033. The reversal of 1220214104031 is 1304014120221.

It is not a de Polignac number, because 1220214104031 - 221 = 1220212006879 is a prime.

It is a super-2 number, since 2×12202141040312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220214103989 and 1220214104007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220214104033) 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, 3302070 + ... + 3652956.

It is an arithmetic number, because the mean of its divisors is an integer number (38741544080).

Almost surely, 21220214104031 is an apocalyptic number.

1220214104031 is a deficient number, since it is larger than the sum of its proper divisors (639380011809).

1220214104031 is an equidigital number, since it uses as much as digits as its factorization.

1220214104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350973 (or 350922 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1220214104031 its reverse (1304014120221), we get a palindrome (2524228224252).

The spelling of 1220214104031 in words is "one trillion, two hundred twenty billion, two hundred fourteen million, one hundred four thousand, thirty-one".

Divisors: 1 3 13 19 39 57 169 247 361 507 741 1083 3211 4693 6859 9633 14079 20577 61009 89167 183027 267501 350887 1052661 1159171 3477513 4561531 6666853 13684593 20000559 59299903 86669089 126670207 177899709 260007267 380010621 1126698157 1646712691 2406733933 3380094471 4940138073 7220201799 21407264983 31287541129 64221794949 93862623387 406738034677 1220214104031