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1000001102952 = 233232011790053
BaseRepresentation
bin11101000110101001011…
…01011110010001101000
310112121011210111110110010
432203110231132101220
5112341000240243302
62043221050051520
7132150650061435
oct16432455362150
93477153443403
101000001102952
11356109609625
12141982419ba0
13733b8593887
1436586652b8c
151b02b8d316c
hexe8d4b5e468

1000001102952 has 64 divisors (see below), whose sum is σ = 2608857175680. Its totient is φ = 318821541632.

The previous prime is 1000001102951. The next prime is 1000001102953. The reversal of 1000001102952 is 2592011000001.

1000001102952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000001102951) and next prime (1000001102953).

It is a super-2 number, since 2×10000011029522 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000001102951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11059558 + ... + 11149610.

It is an arithmetic number, because the mean of its divisors is an integer number (40763393370).

Almost surely, 21000001102952 is an apocalyptic number.

1000001102952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000001102952 is an abundant number, since it is smaller than the sum of its proper divisors (1608856072728).

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

1000001102952 is a wasteful number, since it uses less digits than its factorization.

1000001102952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110202 (or 110198 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 1000001102952 its reverse (2592011000001), we get a palindrome (3592012102953).

The spelling of 1000001102952 in words is "one trillion, one million, one hundred two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 20117 40234 60351 80468 90053 120702 160936 180106 241404 270159 360212 462691 482808 540318 720424 925382 1080636 1388073 1850764 2071219 2161272 2776146 3701528 4142438 5552292 6213657 8284876 11104584 12427314 16569752 24854628 49709256 1811596201 3623192402 5434788603 7246384804 10869577206 14492769608 21739154412 41666712623 43478308824 83333425246 125000137869 166666850492 250000275738 333333700984 500000551476 1000001102952