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3220013120100 = 2235272180370327
BaseRepresentation
bin101110110110110111101…
…111001111101001100100
3102101211102020202210120220
4232312313233033221210
5410224041324320400
610503130440124340
7451431632631030
oct56666757175144
912354366683526
103220013120100
111031666508257
12440087a666b0
131a485216b77a
14b1bc6d171c0
1558b5eb767a0
hex2edb7bcfa64

3220013120100 has 144 divisors (see below), whose sum is σ = 10648149808128. Its totient is φ = 735958776960.

The previous prime is 3220013120083. The next prime is 3220013120141. The reversal of 3220013120100 is 10213100223.

It is a super-2 number, since 2×32200131201002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3220013120100.

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, 45751137 + ... + 45821463.

Almost surely, 23220013120100 is an apocalyptic number.

3220013120100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3220013120100 is an abundant number, since it is smaller than the sum of its proper divisors (7428136688028).

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

3220013120100 is a wasteful number, since it uses less digits than its factorization.

3220013120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92154 (or 92147 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3220013120100 its reverse (10213100223), we get a palindrome (3230226220323).

The spelling of 3220013120100 in words is "three trillion, two hundred twenty billion, thirteen million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 21803 43606 65409 70327 87212 109015 130818 140654 152621 210981 218030 261636 281308 305242 327045 351635 421962 436060 457863 492289 545075 610484 654090 703270 763105 843924 915726 984578 1054905 1090150 1308180 1406540 1476867 1526210 1635225 1758175 1831452 1969156 2109810 2180300 2289315 2461445 2953734 3052420 3270450 3516350 3815525 4219620 4578630 4922890 5274525 5907468 6540900 7032700 7384335 7631050 9157260 9845780 10549050 11446575 12307225 14768670 15262100 21098100 22893150 24614450 29537340 36921675 45786300 49228900 73843350 147686700 1533339581 3066679162 4600018743 6133358324 7666697905 9200037486 10733377067 15333395810 18400074972 21466754134 23000093715 30666791620 32200131201 38333489525 42933508268 46000187430 53666885335 64400262402 76666979050 92000374860 107333770670 115000468575 128800524804 153333958100 161000656005 214667541340 230000937150 268334426675 322001312010 460001874300 536668853350 644002624020 805003280025 1073337706700 1610006560050 3220013120100