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1032213130434 = 233237011185577
BaseRepresentation
bin11110000010101001011…
…00100110110011000010
310122200022201010000002000
433001110230212303002
5113402433030133214
62110105301404430
7134401126562133
oct17012454466302
93580281100060
101032213130434
11368839447642
12148072109716
137645000b975
1437d60789c8a
151bcb4802809
hexf054b26cc2

1032213130434 has 64 divisors (see below), whose sum is σ = 2396954177280. Its totient is φ = 328641667200.

The previous prime is 1032213130433. The next prime is 1032213130493. The reversal of 1032213130434 is 4340313122301.

It is a happy number.

1032213130434 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 213 + 13 + 0 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1032213130398 and 1032213130407.

It is not an unprimeable number, because it can be changed into a prime (1032213130433) 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, 277854 + ... + 1463430.

It is an arithmetic number, because the mean of its divisors is an integer number (37452409020).

Almost surely, 21032213130434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032213130434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198477088640).

1032213130434 is an abundant number, since it is smaller than the sum of its proper divisors (1364741046846).

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

1032213130434 is a wasteful number, since it uses less digits than its factorization.

1032213130434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186312 (or 1186306 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1032213130434 its reverse (4340313122301), we get a palindrome (5372526252735).

The spelling of 1032213130434 in words is "one trillion, thirty-two billion, two hundred thirteen million, one hundred thirty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 701 1242 1402 2103 4206 6309 12618 16123 18927 32246 37854 48369 96738 145107 290214 435321 870642 1185577 2371154 3556731 7113462 10670193 21340386 27268271 32010579 54536542 64021158 81804813 163609626 245414439 490828878 736243317 831089477 1472486634 1662178954 2493268431 4986536862 7479805293 14959610586 19115057971 22439415879 38230115942 44878831758 57345173913 114690347826 172035521739 344071043478 516106565217 1032213130434