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2091912100 = 2252232979397
BaseRepresentation
bin111110010110000…
…0000101110100100
312101210022010220221
41330230000232210
513241012141400
6543324534124
7102560650045
oct17454005644
95353263827
102091912100
11983914583
124a46b1344
13274518715
1415bb828cc
15c39bac1a
hex7cb00ba4

2091912100 has 144 divisors (see below), whose sum is σ = 4974681600. Its totient is φ = 761080320.

The previous prime is 2091912091. The next prime is 2091912131. The reversal of 2091912100 is 12191902.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5269102 + ... + 5269498.

It is an arithmetic number, because the mean of its divisors is an integer number (34546400).

Almost surely, 22091912100 is an apocalyptic number.

2091912100 is a gapful number since it is divisible by the number (20) 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 2091912100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487340800).

2091912100 is an abundant number, since it is smaller than the sum of its proper divisors (2882769500).

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

2091912100 is a wasteful number, since it uses less digits than its factorization.

2091912100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 2091912100 is about 45737.4255943642. The cubic root of 2091912100 is about 1278.9330505027.

The spelling of 2091912100 in words is "two billion, ninety-one million, nine hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 79 92 100 115 116 145 158 230 290 316 395 397 460 575 580 667 725 790 794 1150 1334 1450 1580 1588 1817 1975 1985 2291 2300 2668 2900 3335 3634 3950 3970 4582 6670 7268 7900 7940 9085 9131 9164 9925 11455 11513 13340 16675 18170 18262 19850 22910 23026 31363 33350 36340 36524 39700 45425 45655 45820 46052 52693 57275 57565 62726 66700 90850 91310 105386 114550 115130 125452 156815 181700 182620 210772 228275 229100 230260 263465 264799 287825 313630 456550 526930 529598 575650 627260 721349 784075 909527 913100 1053860 1059196 1151300 1317325 1323995 1442698 1568150 1819054 2634650 2647990 2885396 3136300 3606745 3638108 4547635 5269300 5295980 6619975 7213490 9095270 13239950 14426980 18033725 18190540 20919121 22738175 26479900 36067450 41838242 45476350 72134900 83676484 90952700 104595605 209191210 418382420 522978025 1045956050 2091912100