Search a number
-
+
2112112000120 = 2351719295637109
BaseRepresentation
bin11110101111000011101…
…011110111110001111000
321110220201201100112211211
4132233003223313301320
5234101101133000440
64254142454132504
7305411050532203
oct36570353676170
97426651315754
102112112000120
11744818185941
122a1412051134
1312422c491195
147432636493a
1539e1a70ceea
hex1ebc3af7c78

2112112000120 has 128 divisors (see below), whose sum is σ = 5479270920000. Its totient is φ = 727322222592.

The previous prime is 2112112000111. The next prime is 2112112000133. The reversal of 2112112000120 is 210002112112.

It is a super-2 number, since 2×21121120001202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112112000120.

It is a congruent number.

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, 2443875 + ... + 3193234.

Almost surely, 22112112000120 is an apocalyptic number.

2112112000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112112000120 is an abundant number, since it is smaller than the sum of its proper divisors (3367158919880).

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

2112112000120 is a wasteful number, since it uses less digits than its factorization.

2112112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637185 (or 5637181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112112000120 its reverse (210002112112), we get a palindrome (2322114112232).

The spelling of 2112112000120 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 19 20 29 34 38 40 58 68 76 85 95 116 136 145 152 170 190 232 290 323 340 380 493 551 580 646 680 760 986 1102 1160 1292 1615 1972 2204 2465 2584 2755 3230 3944 4408 4930 5510 6460 9367 9860 11020 12920 18734 19720 22040 37468 46835 74936 93670 187340 374680 5637109 11274218 22548436 28185545 45096872 56371090 95830853 107105071 112742180 163476161 191661706 214210142 225484360 326952322 383323412 428420284 479154265 535525355 653904644 766646824 817380805 856840568 958308530 1071050710 1307809288 1634761610 1820786207 1916617060 2142101420 2779094737 3106047059 3269523220 3641572414 3833234120 4284202840 5558189474 6212094118 6539046440 7283144828 9103931035 11116378948 12424188236 13895473685 14566289656 15530235295 18207862070 22232757896 24848376472 27790947370 31060470590 36415724140 52802800003 55581894740 62120941180 72831448280 105605600006 111163789480 124241882360 211211200012 264014000015 422422400024 528028000030 1056056000060 2112112000120