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103032102400 = 29528049383
BaseRepresentation
bin101111111110100110…
…0010001111000000000
3100211221111002002210121
41133331030101320000
53142002204234100
6115155435310024
710305142264123
oct1377514217000
9324844062717
10103032102400
113a771a32557
1217b752ab314
13993ca53b86
144db5a223ba
152a3052051a
hex17fd311e00

103032102400 has 60 divisors (see below), whose sum is σ = 255270114792. Its totient is φ = 41212835840.

The previous prime is 103032102379. The next prime is 103032102461. The reversal of 103032102400 is 4201230301.

It is a happy number.

It is a super-2 number, since 2×1030321024002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4011892 + ... + 4037491.

Almost surely, 2103032102400 is an apocalyptic number.

103032102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103032102400 is an abundant number, since it is smaller than the sum of its proper divisors (152238012392).

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

103032102400 is an frugal number, since it uses more digits than its factorization.

103032102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049411 (or 8049390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103032102400 its reverse (4201230301), we get a palindrome (107233332701).

The spelling of 103032102400 in words is "one hundred three billion, thirty-two million, one hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 8049383 16098766 32197532 40246915 64395064 80493830 128790128 160987660 201234575 257580256 321975320 402469150 515160512 643950640 804938300 1030321024 1287901280 1609876600 2060642048 2575802560 3219753200 4121284096 5151605120 6439506400 10303210240 12879012800 20606420480 25758025600 51516051200 103032102400