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10232132340 = 2235713177577
BaseRepresentation
bin10011000011110000…
…11111001011110100
3222102002120011211110
421201320133023310
5131423411213330
64411154035020
7511363455423
oct114170371364
928362504743
1010232132340
114380854521
121b96878a70
13c70b151a1
146d0d0b2ba
153ed462db0
hex261e1f2f4

10232132340 has 96 divisors (see below), whose sum is σ = 29148989184. Its totient is φ = 2681297920.

The previous prime is 10232132333. The next prime is 10232132347. The reversal of 10232132340 is 4323123201.

It is an interprime number because it is at equal distance from previous prime (10232132333) and next prime (10232132347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232132347) 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, 1346632 + ... + 1354208.

It is an arithmetic number, because the mean of its divisors is an integer number (303635304).

Almost surely, 210232132340 is an apocalyptic number.

10232132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574494592).

10232132340 is an abundant number, since it is smaller than the sum of its proper divisors (18916856844).

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

10232132340 is a wasteful number, since it uses less digits than its factorization.

10232132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10232132340 its reverse (4323123201), we get a palindrome (14555255541).

The spelling of 10232132340 in words is "ten billion, two hundred thirty-two million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 317 355 426 634 710 852 951 1065 1268 1420 1585 1902 2130 3170 3804 4260 4755 6340 7577 9510 15154 19020 22507 22731 30308 37885 45014 45462 67521 75770 90028 90924 112535 113655 135042 151540 225070 227310 270084 337605 450140 454620 537967 675210 1075934 1350420 1613901 2151868 2401909 2689835 3227802 4803818 5379670 6455604 7205727 8069505 9607636 10759340 12009545 14411454 16139010 24019090 28822908 32278020 36028635 48038180 72057270 144114540 170535539 341071078 511606617 682142156 852677695 1023213234 1705355390 2046426468 2558033085 3410710780 5116066170 10232132340