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202020220101102 = 231324333113997821
BaseRepresentation
bin101101111011110001111111…
…011101001110000111101110
3222111021221111111011110201220
4231323301333131032013232
5202434344402321213402
61553354450301244210
760360323244663624
oct5573617735160756
9874257444143656
10202020220101102
1159408326655397
121a7a8a56b63666
13889556a9a2600
1437c5b8bad1514
1518550222b2dbc
hexb7bc7f74e1ee

202020220101102 has 96 divisors (see below), whose sum is σ = 449038483572096. Its totient is φ = 60531052982400.

The previous prime is 202020220101031. The next prime is 202020220101107. The reversal of 202020220101102 is 201101022020202.

It is a super-2 number, since 2×2020202201011022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202020220101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7433352 + ... + 21431172.

It is an arithmetic number, because the mean of its divisors is an integer number (4677484203876).

Almost surely, 2202020220101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202020220101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224519241786048).

202020220101102 is an abundant number, since it is smaller than the sum of its proper divisors (247018263470994).

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

202020220101102 is a wasteful number, since it uses less digits than its factorization.

202020220101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13998226 (or 13998213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202020220101102 its reverse (201101022020202), we get a palindrome (403121242121304).

The spelling of 202020220101102 in words is "two hundred two trillion, twenty billion, two hundred twenty million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 169 258 331 338 507 559 662 993 1014 1118 1677 1986 3354 4303 7267 8606 12909 14233 14534 21801 25818 28466 42699 43602 55939 85398 111878 167817 185029 335634 370058 555087 1110174 2405377 4810754 7216131 13997821 14432262 27995642 41993463 83986926 181971673 363943346 545915019 601906303 1091830038 1203812606 1805718909 2365631749 3611437818 4633278751 4731263498 7096895247 7824781939 9266557502 13899836253 14193790494 15649563878 23474345817 27799672506 46948691634 60232623763 101722165207 120465247526 180697871289 199230986293 203444330414 305166495621 361395742578 398461972586 597692958879 610332991242 783024108919 1195385917758 1566048217838 2349072326757 2590002821809 4698144653514 5180005643618 7770008465427 15540016930854 33670036683517 67340073367034 101010110050551 202020220101102