Search a number
-
+
120100100121186 = 23137190181799397
BaseRepresentation
bin11011010011101011111011…
…110011100010001001100010
3120202020110100110211001122020
4123103223323303202021202
5111220210001112334221
61103233120241522310
734203642304161153
oct3323537363421142
9522213313731566
10120100100121186
11352a4191573899
1211578254643396
1352025108c3103
142192c3951392a
15dd412c56aac6
hex6d3afbce2262

120100100121186 has 64 divisors (see below), whose sum is σ = 242136125815680. Its totient is φ = 39711164198400.

The previous prime is 120100100121173. The next prime is 120100100121187. The reversal of 120100100121186 is 681121001001021.

It is not an unprimeable number, because it can be changed into a prime (120100100121187) 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, 12780680640 + ... + 12780690036.

It is an arithmetic number, because the mean of its divisors is an integer number (3783376965870).

Almost surely, 2120100100121186 is an apocalyptic number.

120100100121186 is an abundant number, since it is smaller than the sum of its proper divisors (122036025694494).

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

120100100121186 is a wasteful number, since it uses less digits than its factorization.

120100100121186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19619.

The product of its (nonzero) digits is 192, while the sum is 24.

The spelling of 120100100121186 in words is "one hundred twenty trillion, one hundred billion, one hundred million, one hundred twenty-one thousand, one hundred eighty-six".

Divisors: 1 2 3 6 137 274 411 822 1901 3802 5703 8179 9397 11406 16358 18794 24537 28191 49074 56382 260437 520874 781311 1120523 1287389 1562622 2241046 2574778 3361569 3862167 6723138 7724334 15548279 17863697 31096558 35727394 46644837 53591091 76858063 93289674 107182182 153716126 230574189 461148378 2130114223 2447326489 4260228446 4894652978 6390342669 7341979467 10529554631 12780685338 14683958934 21059109262 31588663893 63177327786 146107177763 292214355526 438321533289 876643066578 20016683353531 40033366707062 60050050060593 120100100121186