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101199980 = 225717101421
BaseRepresentation
bin1100000100000…
…11000001101100
321001102111021102
412002003001230
5201401344410
614013022232
72336120450
oct602030154
9231374242
10101199980
1152141052
1229a84978
1317c73a5b
14d624660
158d402a5
hex608306c

101199980 has 96 divisors (see below), whose sum is σ = 260330112. Its totient is φ = 32256000.

The previous prime is 101199979. The next prime is 101200007. The reversal of 101199980 is 89991101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240170 + ... + 240590.

It is an arithmetic number, because the mean of its divisors is an integer number (2711772).

Almost surely, 2101199980 is an apocalyptic number.

101199980 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 101199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130165056).

101199980 is an abundant number, since it is smaller than the sum of its proper divisors (159130132).

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

101199980 is a wasteful number, since it uses less digits than its factorization.

101199980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 38.

The square root of 101199980 is about 10059.8200779139. The cubic root of 101199980 is about 466.0081107714.

The spelling of 101199980 in words is "one hundred one million, one hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 101 119 140 170 202 238 340 404 421 476 505 595 707 842 1010 1190 1414 1684 1717 2020 2105 2380 2828 2947 3434 3535 4210 5894 6868 7070 7157 8420 8585 11788 12019 14140 14314 14735 17170 24038 28628 29470 34340 35785 42521 48076 50099 58940 60095 71570 85042 100198 120190 143140 170084 200396 212605 240380 250495 297647 425210 500990 595294 722857 850420 1001980 1190588 1445714 1488235 2891428 2976470 3614285 5059999 5952940 7228570 10119998 14457140 20239996 25299995 50599990 101199980