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20121402410100 = 22335231240399073
BaseRepresentation
bin1001001001100111000010…
…00010110000010001110100
32122020120212010111221011000
410210303201002300101310
510114132113004110400
6110443351125043300
74144503052335315
oct444634102602164
978216763457130
1020121402410100
116458491107672
12230b7b4b56530
13b2c594bb1864
144d7c4994260c
1524d60d00a600
hex124ce10b0474

20121402410100 has 144 divisors (see below), whose sum is σ = 66773246794240. Its totient is φ = 5192619955200.

The previous prime is 20121402410089. The next prime is 20121402410113. The reversal of 20121402410100 is 101420412102.

20121402410100 is a `hidden beast` number, since 2 + 0 + 12 + 140 + 2 + 410 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120115837 + ... + 120283236.

Almost surely, 220121402410100 is an apocalyptic number.

20121402410100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121402410100 is an abundant number, since it is smaller than the sum of its proper divisors (46651844384140).

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

20121402410100 is a wasteful number, since it uses less digits than its factorization.

20121402410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240399127 (or 240399114 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20121402410100 its reverse (101420412102), we get a palindrome (20222822822202).

The spelling of 20121402410100 in words is "twenty trillion, one hundred twenty-one billion, four hundred two million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 180 186 225 270 279 300 310 372 450 465 540 558 620 675 775 837 900 930 1116 1350 1395 1550 1674 1860 2325 2700 2790 3100 3348 4185 4650 5580 6975 8370 9300 13950 16740 20925 27900 41850 83700 240399073 480798146 721197219 961596292 1201995365 1442394438 2163591657 2403990730 2884788876 3605986095 4327183314 4807981460 6009976825 6490774971 7211972190 7452371263 8654366628 10817958285 12019953650 12981549942 14423944380 14904742526 18029930475 21635916570 22357113789 24039907300 25963099884 29809485052 32453874855 36059860950 37261856315 43271833140 44714227578 54089791425 64907749710 67071341367 72119721900 74523712630 89428455156 108179582850 111785568945 129815499420 134142682734 149047425260 162269374275 186309281575 201214024101 216359165700 223571137890 268285365468 324538748550 335356706835 372618563150 402428048202 447142275780 558927844725 649077497100 670713413670 745237126300 804856096404 1006070120505 1117855689450 1341426827340 1676783534175 2012140241010 2235711378900 3353567068350 4024280482020 5030350602525 6707134136700 10060701205050 20121402410100