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1010340321432 = 2331331104460331
BaseRepresentation
bin11101011001111001111…
…10011101100010011000
310120120212100120011211220
432230330332131202120
5113023134110241212
62052051031252040
7132665114014521
oct16547476354230
93516770504756
101010340321432
1135a534854492
12143988b1a020
1374375630a30
1436c87877848
151b43444a38c
hexeb3cf9d898

1010340321432 has 64 divisors (see below), whose sum is σ = 2807893724160. Its totient is φ = 300845750400.

The previous prime is 1010340321407. The next prime is 1010340321437. The reversal of 1010340321432 is 2341230430101.

It is a happy number.

It is a super-2 number, since 2×10103403214322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010340321437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52220494 + ... + 52239837.

It is an arithmetic number, because the mean of its divisors is an integer number (43873339440).

Almost surely, 21010340321432 is an apocalyptic number.

1010340321432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010340321432 is an abundant number, since it is smaller than the sum of its proper divisors (1797553402728).

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

1010340321432 is a wasteful number, since it uses less digits than its factorization.

1010340321432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104460384 (or 104460380 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1010340321432 its reverse (2341230430101), we get a palindrome (3351570751533).

The spelling of 1010340321432 in words is "one trillion, ten billion, three hundred forty million, three hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 104460331 208920662 313380993 417841324 626761986 835682648 1253523972 1357984303 2507047944 2715968606 3238270261 4073952909 5431937212 6476540522 8147905818 9714810783 10863874424 12953081044 16295811636 19429621566 25906162088 32591623272 38859243132 42097513393 77718486264 84195026786 126292540179 168390053572 252585080358 336780107144 505170160716 1010340321432