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1022314450104 = 233341521113989
BaseRepresentation
bin11101110000001101011…
…00001000110010111000
310121201202211222221102000
432320012230020302320
5113222144444400404
62101351134341000
7133600622306613
oct16700654106270
93551684887360
101022314450104
113646199455a2
1214616b05a760
137553330787c
14376a1c7d17a
151b8d57aa339
hexee06b08cb8

1022314450104 has 64 divisors (see below), whose sum is σ = 2839855668000. Its totient is φ = 340760286720.

The previous prime is 1022314450081. The next prime is 1022314450153. The reversal of 1022314450104 is 4010544132201.

1022314450104 is a `hidden beast` number, since 10 + 2 + 2 + 3 + 144 + 501 + 0 + 4 = 666.

It is a super-2 number, since 2×10223144501042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8911542 + ... + 9025530.

Almost surely, 21022314450104 is an apocalyptic number.

It is an amenable number.

1022314450104 is an abundant number, since it is smaller than the sum of its proper divisors (1817541217896).

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

1022314450104 is a wasteful number, since it uses less digits than its factorization.

1022314450104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155525 (or 155515 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1022314450104 its reverse (4010544132201), we get a palindrome (5032858582305).

The spelling of 1022314450104 in words is "one trillion, twenty-two billion, three hundred fourteen million, four hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 41521 83042 113989 124563 166084 227978 249126 332168 341967 373689 455956 498252 683934 747378 911912 996504 1025901 1121067 1367868 1494756 2051802 2242134 2735736 2989512 3077703 4103604 4484268 6155406 8207208 8968536 12310812 24621624 4732937269 9465874538 14198811807 18931749076 28397623614 37863498152 42596435421 56795247228 85192870842 113590494456 127789306263 170385741684 255578612526 340771483368 511157225052 1022314450104