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1022042242332 = 223238374125489
BaseRepresentation
bin11101101111101100111…
…01101111110100011100
310121201001212210100112200
432313312131233310130
5113221120303223312
62101304132131500
7133561105502136
oct16676635576434
93551055710480
101022042242332
1136449a2238a1
121460b3a66b90
13754bbabab97
1437677a62056
151b8bb93b0dc
hexedf676fd1c

1022042242332 has 36 divisors (see below), whose sum is σ = 2590241122560. Its totient is φ = 339791236992.

The previous prime is 1022042242307. The next prime is 1022042242337. The reversal of 1022042242332 is 2332422402201.

1022042242332 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 422 + 4 + 233 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10220422423322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022042242296 and 1022042242305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022042242337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37048957 + ... + 37076532.

Almost surely, 21022042242332 is an apocalyptic number.

1022042242332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022042242332 is an abundant number, since it is smaller than the sum of its proper divisors (1568198880228).

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

1022042242332 is a wasteful number, since it uses less digits than its factorization.

1022042242332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74125882 (or 74125877 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1022042242332 its reverse (2332422402201), we get a palindrome (3354464644533).

The spelling of 1022042242332 in words is "one trillion, twenty-two billion, forty-two million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 383 766 1149 1532 2298 3447 4596 6894 13788 74125489 148250978 222376467 296501956 444752934 667129401 889505868 1334258802 2668517604 28390062287 56780124574 85170186861 113560249148 170340373722 255510560583 340680747444 511021121166 1022042242332