Search a number
-
+
202112010111220 = 22511193133939489
BaseRepresentation
bin101101111101000111011110…
…100100010100100011110100
3222111121201102111021010010021
4231331013132210110203310
5202442400344042024340
61553504550423534524
760400053011126566
oct5575073644244364
9874551374233107
10202112010111220
1159443249727590
121a8027b32ba444
1388a11085c7871
1437ca3b8625336
1518575e5872e4a
hexb7d1de9148f4

202112010111220 has 96 divisors (see below), whose sum is σ = 488739841430400. Its totient is φ = 69627103441920.

The previous prime is 202112010111041. The next prime is 202112010111227. The reversal of 202112010111220 is 22111010211202.

It is a junction number, because it is equal to n+sod(n) for n = 202112010111194 and 202112010111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112010111227) 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, 65460765 + ... + 68478724.

It is an arithmetic number, because the mean of its divisors is an integer number (5091040014900).

Almost surely, 2202112010111220 is an apocalyptic number.

202112010111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112010111220 is an abundant number, since it is smaller than the sum of its proper divisors (286627831319180).

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

202112010111220 is a wasteful number, since it uses less digits than its factorization.

202112010111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133939566 (or 133939526 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202112010111220 its reverse (22111010211202), we get a palindrome (224223020322422).

The spelling of 202112010111220 in words is "two hundred two trillion, one hundred twelve billion, ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 3610 3971 4180 6859 7220 7942 13718 15884 19855 27436 34295 39710 68590 75449 79420 137180 150898 301796 377245 754490 1508980 133939489 267878978 535757956 669697445 1339394890 1473334379 2544850291 2678789780 2946668758 5089700582 5893337516 7366671895 10179401164 12724251455 14733343790 25448502910 27993353201 29466687580 48352155529 50897005820 55986706402 96704311058 111973412804 139966766005 193408622116 241760777645 279933532010 483521555290 531873710819 559867064020 918690955051 967043110580 1063747421638 1837381910102 2127494843276 2659368554095 3674763820204 4593454775255 5318737108190 9186909550510 10105600505561 10637474216380 18373819101020 20211201011122 40422402022244 50528002527805 101056005055610 202112010111220