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63300780100 = 225217172321611
BaseRepresentation
bin111010111101000001…
…010100000001000100
320001101112120210211001
4322331001110001010
52014114444430400
645025135223044
74400436516205
oct727501240104
9201345523731
1063300780100
1124933704aa8
1210327377a84
135c7a5535cc
1430c6dd35ac
1519a740ba6a
hexebd054044

63300780100 has 72 divisors (see below), whose sum is σ = 145533997728. Its totient is φ = 23815948800.

The previous prime is 63300780091. The next prime is 63300780131. The reversal of 63300780100 is 108700336.

It is a super-2 number, since 2×633007801002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918295 + ... + 2939905.

It is an arithmetic number, because the mean of its divisors is an integer number (2021305524).

Almost surely, 263300780100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63300780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72766998864).

63300780100 is an abundant number, since it is smaller than the sum of its proper divisors (82233217628).

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

63300780100 is a wasteful number, since it uses less digits than its factorization.

63300780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23365 (or 23358 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 63300780100 in words is "sixty-three billion, three hundred million, seven hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1723 3446 6892 8615 17230 21611 29291 34460 43075 43222 58582 86150 86444 108055 117164 146455 172300 216110 292910 367387 432220 540275 585820 732275 734774 1080550 1464550 1469548 1836935 2161100 2929100 3673870 7347740 9184675 18369350 36738700 37235753 74471506 148943012 186178765 372357530 633007801 744715060 930893825 1266015602 1861787650 2532031204 3165039005 3723575300 6330078010 12660156020 15825195025 31650390050 63300780100