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1023423132732 = 2237111385200061
BaseRepresentation
bin11101110010010001100…
…01011011010000111100
310121211122010011212001120
432321020301123100330
5113231432310221412
62102053141310540
7133640244044520
oct16711061332074
93554563155046
101023423132732
11365038750230
1214641a405450
137567bc085b0
14377691dbd80
151b94cca8b8c
hexee48c5b43c

1023423132732 has 96 divisors (see below), whose sum is σ = 3206248733184. Its totient is φ = 245376172800.

The previous prime is 1023423132731. The next prime is 1023423132773. The reversal of 1023423132732 is 2372313243201.

1023423132732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10234231327322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1023423132693 and 1023423132702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023423132731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42588019 + ... + 42612042.

It is an arithmetic number, because the mean of its divisors is an integer number (33398424304).

Almost surely, 21023423132732 is an apocalyptic number.

1023423132732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023423132732 is an abundant number, since it is smaller than the sum of its proper divisors (2182825600452).

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

1023423132732 is a wasteful number, since it uses less digits than its factorization.

1023423132732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85200099 (or 85200097 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

Adding to 1023423132732 its reverse (2372313243201), we get a palindrome (3395736375933).

The spelling of 1023423132732 in words is "one trillion, twenty-three billion, four hundred twenty-three million, one hundred thirty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 85200061 170400122 255600183 340800244 511200366 596400427 937200671 1022400732 1107600793 1192800854 1789201281 1874401342 2215201586 2385601708 2811602013 3322802379 3578402562 3748802684 4430403172 5623204026 6560404697 6645604758 7156805124 7753205551 11246408052 12183608723 13120809394 13291209516 15506411102 19681214091 23259616653 24367217446 26241618788 31012822204 36550826169 39362428182 46519233306 48734434892 73101652338 78724856364 85285261061 93038466612 146203304676 170570522122 255855783183 341141044244 511711566366 1023423132732