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10330032132400 = 2452231731114447
BaseRepresentation
bin1001011001010010010111…
…1001010101000100110000
31100120112121200220200022111
42112110211321111010300
52323221401211214100
633545315023015104
72114214553235161
oct226244571250460
940515550820274
1010330032132400
113322a3a920952
1211aa042a3a494
1359c16bbbc976
14279d94a81768
1512da93e766ba
hex96525e55130

10330032132400 has 60 divisors (see below), whose sum is σ = 24818995451872. Its totient is φ = 4131830833920.

The previous prime is 10330032132383. The next prime is 10330032132437. The reversal of 10330032132400 is 423123003301.

It is a super-2 number, since 2×103300321324002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8711977 + ... + 9826423.

Almost surely, 210330032132400 is an apocalyptic number.

10330032132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330032132400 is an abundant number, since it is smaller than the sum of its proper divisors (14488963319472).

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

10330032132400 is a wasteful number, since it uses less digits than its factorization.

10330032132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137638 (or 1137627 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10330032132400 its reverse (423123003301), we get a palindrome (10753155135701).

The spelling of 10330032132400 in words is "ten trillion, three hundred thirty billion, thirty-two million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 23173 46346 92692 115865 185384 231730 370768 463460 579325 926920 1114447 1158650 1853840 2228894 2317300 4457788 4634600 5572235 8915576 9269200 11144470 17831152 22288940 27861175 44577880 55722350 89155760 111444700 222889400 445778800 25825080331 51650160662 103300321324 129125401655 206600642648 258250803310 413201285296 516501606620 645627008275 1033003213240 1291254016550 2066006426480 2582508033100 5165016066200 10330032132400