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101199480 = 23354167307
BaseRepresentation
bin1100000100000…
…10111001111000
321001102110120220
412002002321320
5201401340410
614013020040
72336116134
oct602027170
9231373526
10101199480
1152140738
1229a84620
1317c73765
14d6243c4
158d40070
hex6082e78

101199480 has 128 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 25850880.

The previous prime is 101199467. The next prime is 101199499. The reversal of 101199480 is 84991101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329487 + ... + 329793.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 2101199480 is an apocalyptic number.

101199480 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 101199480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

101199480 is an abundant number, since it is smaller than the sum of its proper divisors (215473800).

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

101199480 is a wasteful number, since it uses less digits than its factorization.

101199480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 101199480 is about 10059.7952265441. The cubic root of 101199480 is about 466.0073432995.

The spelling of 101199480 in words is "one hundred one million, one hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 67 82 120 123 134 164 201 205 246 268 307 328 335 402 410 492 536 614 615 670 804 820 921 984 1005 1228 1230 1340 1535 1608 1640 1842 2010 2456 2460 2680 2747 3070 3684 4020 4605 4920 5494 6140 7368 8040 8241 9210 10988 12280 12587 13735 16482 18420 20569 21976 25174 27470 32964 36840 37761 41138 41205 50348 54940 61707 62935 65928 75522 82276 82410 100696 102845 109880 123414 125870 151044 164552 164820 188805 205690 246828 251740 302088 308535 329640 377610 411380 493656 503480 617070 755220 822760 843329 1234140 1510440 1686658 2468280 2529987 3373316 4216645 5059974 6746632 8433290 10119948 12649935 16866580 20239896 25299870 33733160 50599740 101199480