Search a number
-
+
202101102120 = 233523671092911
BaseRepresentation
bin1011110000111000101…
…0100001011000101000
3201022122202212201202110
42330032022201120220
511302400340231440
6232502144002320
720413153011111
oct2741612413050
9638582781673
10202101102120
117878a892335
12332033003a0
131609a704878
149ad3177208
1553ccb58080
hex2f0e2a1628

202101102120 has 128 divisors (see below), whose sum is σ = 642107658240. Its totient is φ = 50780970240.

The previous prime is 202101102089. The next prime is 202101102233. The reversal of 202101102120 is 21201101202.

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 = 202101102096 and 202101102105.

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, 361536 + ... + 731375.

It is an arithmetic number, because the mean of its divisors is an integer number (5016466080).

Almost surely, 2202101102120 is an apocalyptic number.

202101102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101102120 is an abundant number, since it is smaller than the sum of its proper divisors (440006556120).

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

202101102120 is a wasteful number, since it uses less digits than its factorization.

202101102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093015 (or 1093011 counting only the distinct ones).

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

Adding to 202101102120 its reverse (21201101202), we get a palindrome (223302203322).

The spelling of 202101102120 in words is "two hundred two billion, one hundred one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 67 69 92 115 120 134 138 184 201 230 268 276 335 345 402 460 536 552 670 690 804 920 1005 1340 1380 1541 1608 2010 2680 2760 3082 4020 4623 6164 7705 8040 9246 12328 15410 18492 23115 30820 36984 46230 61640 92460 184920 1092911 2185822 3278733 4371644 5464555 6557466 8743288 10929110 13114932 16393665 21858220 25136953 26229864 32787330 43716440 50273906 65574660 73225037 75410859 100547812 125684765 131149320 146450074 150821718 201095624 219675111 251369530 292900148 301643436 366125185 377054295 439350222 502739060 585800296 603286872 732250370 754108590 878700444 1005478120 1098375555 1464500740 1508217180 1684175851 1757400888 2196751110 2929001480 3016434360 3368351702 4393502220 5052527553 6736703404 8420879255 8787004440 10105055106 13473406808 16841758510 20210110212 25262637765 33683517020 40420220424 50525275530 67367034040 101050551060 202101102120