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1032122130320 = 24543486161723
BaseRepresentation
bin11110000010011110100…
…01011101111110010000
310122200002100212201101102
433001033101131332100
5113402241231132240
62110052251123532
7134365643232521
oct17011721357620
93580070781342
101032122130320
113687a2042936
121480477435a8
13764371c9748
1437d5265c848
151bcab829815
hexf04f45df90

1032122130320 has 80 divisors (see below), whose sum is σ = 2456035488192. Its totient is φ = 403158228480.

The previous prime is 1032122130269. The next prime is 1032122130331. The reversal of 1032122130320 is 230312212301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032122130292 and 1032122130301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16690979 + ... + 16752701.

Almost surely, 21032122130320 is an apocalyptic number.

1032122130320 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 1032122130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228017744096).

1032122130320 is an abundant number, since it is smaller than the sum of its proper divisors (1423913357872).

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

1032122130320 is a wasteful number, since it uses less digits than its factorization.

1032122130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66640 (or 66634 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1032122130320 its reverse (230312212301), we get a palindrome (1262434342621).

The spelling of 1032122130320 in words is "one trillion, thirty-two billion, one hundred twenty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 4861 9722 19444 24305 38888 48610 61723 77776 97220 123446 194440 209023 246892 308615 388880 418046 493784 617230 836092 987568 1045115 1234460 1672184 2090230 2468920 2654089 3344368 4180460 4937840 5308178 8360920 10616356 13270445 16721840 21232712 26540890 42465424 53081780 106163560 212327120 300035503 600071006 1200142012 1500177515 2400284024 3000355030 4800568048 6000710060 12001420120 12901526629 24002840240 25803053258 51606106516 64507633145 103212213032 129015266290 206424426064 258030532580 516061065160 1032122130320