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1023200012029 = 13261641154841
BaseRepresentation
bin11101110001110110111…
…10010010011011111101
310121211001120100010222211
432320323132102123331
5113231003200341104
62102015051140421
7133631564413036
oct16707336223375
93554046303884
101023200012029
11364a33806358
12146377744711
1375644917600
143774771ba8d
151b9383d3e04
hexee3b7926fd

1023200012029 has 24 divisors (see below), whose sum is σ = 1127889567144. Its totient is φ = 927553536000.

The previous prime is 1023200011993. The next prime is 1023200012041. The reversal of 1023200012029 is 9202100023201.

It can be written as a sum of positive squares in 12 ways, for example, as 795672920025 + 227527092004 = 892005^2 + 476998^2 .

It is not a de Polignac number, because 1023200012029 - 221 = 1023197914877 is a prime.

It is a super-2 number, since 2×10232000120292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023200012129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6530649 + ... + 6685489.

It is an arithmetic number, because the mean of its divisors is an integer number (46995398631).

Almost surely, 21023200012029 is an apocalyptic number.

It is an amenable number.

1023200012029 is a deficient number, since it is larger than the sum of its proper divisors (104689555115).

1023200012029 is a wasteful number, since it uses less digits than its factorization.

1023200012029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155569 (or 155556 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 1023200012029 in words is "one trillion, twenty-three billion, two hundred million, twelve thousand, twenty-nine".

Divisors: 1 13 61 169 641 793 8333 10309 39101 108329 154841 508313 2012933 6608069 9445301 26168129 99253081 122788913 1290290053 1596255869 6054437941 16773770689 78707693233 1023200012029