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21021102120 = 2335434618837
BaseRepresentation
bin10011100100111101…
…001001000000101000
32000020222220122000210
4103210331021000220
5321022400231440
613353523101120
71342631264004
oct234475110050
960228818023
1021021102120
118a07956177
1240a7b117a0
131ca00c2a85
141035b67704
15830719a80
hex4e4f49028

21021102120 has 128 divisors (see below), whose sum is σ = 64677191040. Its totient is φ = 5462768640.

The previous prime is 21021102107. The next prime is 21021102209. The reversal of 21021102120 is 2120112012.

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

It is a junction number, because it is equal to n+sod(n) for n = 21021102096 and 21021102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2374342 + ... + 2383178.

It is an arithmetic number, because the mean of its divisors is an integer number (505290555).

Almost surely, 221021102120 is an apocalyptic number.

21021102120 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 21021102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32338595520).

21021102120 is an abundant number, since it is smaller than the sum of its proper divisors (43656088920).

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

21021102120 is a wasteful number, since it uses less digits than its factorization.

21021102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9355 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21021102120 its reverse (2120112012), we get a palindrome (23141214132).

The spelling of 21021102120 in words is "twenty-one billion, twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 461 516 645 860 922 1032 1290 1383 1720 1844 2305 2580 2766 3688 4610 5160 5532 6915 8837 9220 11064 13830 17674 18440 19823 26511 27660 35348 39646 44185 53022 55320 59469 70696 79292 88370 99115 106044 118938 132555 158584 176740 198230 212088 237876 265110 297345 353480 379991 396460 475752 530220 594690 759982 792920 1060440 1139973 1189380 1519964 1899955 2279946 2378760 3039928 3799910 4073857 4559892 5699865 7599820 8147714 9119784 11399730 12221571 15199640 16295428 20369285 22799460 24443142 32590856 40738570 45598920 48886284 61107855 81477140 97772568 122215710 162954280 175175851 244431420 350351702 488862840 525527553 700703404 875879255 1051055106 1401406808 1751758510 2102110212 2627637765 3503517020 4204220424 5255275530 7007034040 10510551060 21021102120