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1023123044034 = 2327135311785231
BaseRepresentation
bin11101110001101101110…
…00101011011011000010
310121210212012111202202100
432320312320223123002
5113230323444402114
62102003301331230
7133626641245410
oct16706670533302
93553765452670
101023123044034
113649a4316143
12146355a06b16
13756319a9310
143773b4042b0
151b93177d909
hexee36e2b6c2

1023123044034 has 96 divisors (see below), whose sum is σ = 2779806242304. Its totient is φ = 264743406720.

The previous prime is 1023123044023. The next prime is 1023123044077. The reversal of 1023123044034 is 4304403213201.

1023123044034 is a `hidden beast` number, since 1 + 0 + 2 + 312 + 304 + 40 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023123043989 and 1023123044007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5805802 + ... + 5979429.

It is an arithmetic number, because the mean of its divisors is an integer number (28956315024).

Almost surely, 21023123044034 is an apocalyptic number.

1023123044034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1023123044034 is an abundant number, since it is smaller than the sum of its proper divisors (1756683198270).

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

1023123044034 is a wasteful number, since it uses less digits than its factorization.

1023123044034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785312 (or 11785309 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1023123044034 its reverse (4304403213201), we get a palindrome (5327526257235).

The spelling of 1023123044034 in words is "one trillion, twenty-three billion, one hundred twenty-three million, forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 53 63 78 91 106 117 126 159 182 234 273 318 371 477 546 689 742 819 954 1113 1378 1638 2067 2226 3339 4134 4823 6201 6678 9646 12402 14469 28938 43407 86814 11785231 23570462 35355693 70711386 82496617 106067079 153208003 164993234 212134158 247489851 306416006 459624009 494979702 624617243 742469553 919248018 1072456021 1249234486 1378872027 1484939106 1873851729 2144912042 2757744054 3217368063 3747703458 4372320701 5621555187 6434736126 8120024159 8744641402 9652104189 11243110374 13116962103 16240048318 19304208378 24360072477 26233924206 39350886309 48720144954 56840169113 73080217431 78701772618 113680338226 146160434862 170520507339 341041014678 511561522017 1023123044034