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2102002101220 = 2257241493712619
BaseRepresentation
bin11110100101101001000…
…101101010101111100100
321102221122010210110202211
4132211221011222233210
5233414400014214340
64245351344013204
7304602400026250
oct36455105525744
97387563713684
102102002101220
117404aa42919a
1229b470301204
131232aaaa5698
1473a47795260
1539a27d925ea
hex1e96916abe4

2102002101220 has 96 divisors (see below), whose sum is σ = 5067165438720. Its totient is φ = 717493800960.

The previous prime is 2102002101217. The next prime is 2102002101229. The reversal of 2102002101220 is 221012002012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102002101220.

It is not an unprimeable number, because it can be changed into a prime (2102002101229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166568071 + ... + 166580689.

It is an arithmetic number, because the mean of its divisors is an integer number (52782973320).

Almost surely, 22102002101220 is an apocalyptic number.

2102002101220 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 2102002101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533582719360).

2102002101220 is an abundant number, since it is smaller than the sum of its proper divisors (2965163337500).

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

2102002101220 is a wasteful number, since it uses less digits than its factorization.

2102002101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17813 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102002101220 its reverse (221012002012), we get a palindrome (2323014103232).

The spelling of 2102002101220 in words is "two trillion, one hundred two billion, two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1687 2410 3374 4820 4937 6748 8435 9874 12619 16870 19748 24685 25238 33740 34559 49370 50476 63095 69118 88333 98740 126190 138236 172795 176666 252380 345590 353332 441665 691180 883330 1189817 1766660 2379634 3041179 4759268 5949085 6082358 8328719 11898170 12164716 15205895 16657438 21288253 23796340 30411790 33314876 41643595 42576506 60823580 62300003 83287190 85153012 106441265 124600006 166574380 212882530 249200012 311500015 425765060 436100021 623000030 872200042 1246000060 1744400084 2180500105 4361000210 8722000420 15014300723 30028601446 60057202892 75071503615 105100105061 150143007230 210200210122 300286014460 420400420244 525500525305 1051001050610 2102002101220