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2021200202120 = 2351131163909091
BaseRepresentation
bin11101011010011000111…
…010111000100110001000
321011020001220202201000012
4131122120322320212020
5231103404222431440
64144305422531052
7266012140151351
oct35323072704610
97136056681005
102021200202120
1170a205904490
1228787ba36a88
131187a17a4478
146db80318d28
15378992c3e65
hex1d698eb8988

2021200202120 has 128 divisors (see below), whose sum is σ = 5152588001280. Its totient is φ = 706908384000.

The previous prime is 2021200202117. The next prime is 2021200202141. The reversal of 2021200202120 is 212020021202.

It is a junction number, because it is equal to n+sod(n) for n = 2021200202095 and 2021200202104.

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, 1768775 + ... + 2677865.

It is an arithmetic number, because the mean of its divisors is an integer number (40254593760).

Almost surely, 22021200202120 is an apocalyptic number.

2021200202120 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 2021200202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576294000640).

2021200202120 is an abundant number, since it is smaller than the sum of its proper divisors (3131387799160).

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

2021200202120 is a wasteful number, since it uses less digits than its factorization.

2021200202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909307 (or 909303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2021200202120 its reverse (212020021202), we get a palindrome (2233220223322).

The spelling of 2021200202120 in words is "two trillion, twenty-one billion, two hundred million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 163 220 248 310 326 341 440 620 652 682 815 1240 1304 1364 1630 1705 1793 2728 3260 3410 3586 5053 6520 6820 7172 8965 10106 13640 14344 17930 20212 25265 35860 40424 50530 55583 71720 101060 111166 202120 222332 277915 444664 555830 909091 1111660 1818182 2223320 3636364 4545455 7272728 9090910 10000001 18181820 20000002 28181821 36363640 40000004 50000005 56363642 80000008 100000010 112727284 140909105 148181833 200000020 225454568 281818210 296363666 310000031 400000040 563636420 592727332 620000062 740909165 1127272840 1185454664 1240000124 1481818330 1550000155 1630000163 2480000248 2963636660 3100000310 3260000326 4593636823 5927273320 6200000620 6520000652 8150000815 9187273646 12400001240 13040001304 16300001630 18374547292 22968184115 32600003260 36749094584 45936368230 50530005053 65200006520 91872736460 101060010106 183745472920 202120020212 252650025265 404240040424 505300050530 1010600101060 2021200202120