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2210030120100 = 22352114993134129
BaseRepresentation
bin100000001010010000000…
…011110110110010100100
321211021110210120102121010
4200022100003312302210
5242202120202320400
64411135051222220
7315445415032515
oct40122003666244
97737423512533
102210030120100
117822a5429740
122b839a747970
1313053588854a
1478d74ad4a0c
153c74bcae450
hex202900f6ca4

2210030120100 has 144 divisors (see below), whose sum is σ = 6977107811520. Its totient is φ = 535653580800.

The previous prime is 2210030120071. The next prime is 2210030120131. The reversal of 2210030120100 is 10210300122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 16409836 + ... + 16543964.

It is an arithmetic number, because the mean of its divisors is an integer number (48452137580).

Almost surely, 22210030120100 is an apocalyptic number.

2210030120100 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 2210030120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488553905760).

2210030120100 is an abundant number, since it is smaller than the sum of its proper divisors (4767077691420).

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

2210030120100 is a wasteful number, since it uses less digits than its factorization.

2210030120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139150 (or 139143 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2210030120100 its reverse (10210300122), we get a palindrome (2220240420222).

The spelling of 2210030120100 in words is "two trillion, two hundred ten billion, thirty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4993 9986 14979 19972 24965 29958 49930 54923 59916 74895 99860 109846 124825 134129 149790 164769 219692 249650 268258 274615 299580 329538 374475 402387 499300 536516 549230 659076 670645 748950 804774 823845 1098460 1341290 1373075 1475419 1497900 1609548 1647690 2011935 2682580 2746150 2950838 3295380 3353225 4023870 4119225 4426257 5492300 5901676 6706450 7377095 8047740 8238450 8852514 10059675 13412900 14754190 16476900 17705028 20119350 22131285 29508380 36885475 40238700 44262570 73770950 88525140 110656425 147541900 221312850 442625700 669706097 1339412194 2009118291 2678824388 3348530485 4018236582 6697060970 7366767067 8036473164 10045591455 13394121940 14733534134 16742652425 20091182910 22100301201 29467068268 33485304850 36833835335 40182365820 44200602402 50227957275 66970609700 73667670670 88401204804 100455914550 110501506005 147335341340 184169176675 200911829100 221003012010 368338353350 442006024020 552507530025 736676706700 1105015060050 2210030120100