Search a number
-
+
121002100100112 = 24372114676951921
BaseRepresentation
bin11011100000110011111111…
…001100011000110000010000
3120212102200120101220121012010
4123200303333030120300100
5111324444300111200422
61105203333011502520
734326053561405100
oct3340637714306020
9525380511817163
10121002100100112
113561177aa96430
12116a30265b7a40
1352695ab819aaa
1421c476638b200
15dec820453b0c
hex6e0cff318c10

121002100100112 has 120 divisors (see below), whose sum is σ = 396680354216352. Its totient is φ = 31429116902400.

The previous prime is 121002100100107. The next prime is 121002100100117. The reversal of 121002100100112 is 211001001200121.

121002100100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121002100100107) and next prime (121002100100117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121002100100117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2338450089 + ... + 2338501832.

Almost surely, 2121002100100112 is an apocalyptic number.

121002100100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121002100100112 is an abundant number, since it is smaller than the sum of its proper divisors (275678254116240).

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

121002100100112 is a wasteful number, since it uses less digits than its factorization.

121002100100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676951957 (or 4676951944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121002100100112 its reverse (211001001200121), we get a palindrome (332003101300233).

The spelling of 121002100100112 in words is "one hundred twenty-one trillion, two billion, one hundred million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872 4676951921 9353903842 14030855763 18707807684 28061711526 32738663447 37415615368 51446471131 56123423052 65477326894 74831230736 98215990341 102892942262 112246846104 130954653788 154339413393 196431980682 205785884524 224493692208 229170644129 261909307576 308678826786 360125297917 392863961364 411571769048 458341288258 523818615152 617357653572 687511932387 720250595834 785727922728 823143538096 916682576516 1080375893751 1234715307144 1375023864774 1440501191668 1571455845456 1833365153032 2160751787502 2469430614288 2520877085419 2750047729548 2881002383336 3666730306064 4321503575004 5041754170838 5500095459096 5762004766672 7562631256257 8643007150008 10083508341676 11000190918192 15125262512514 17286014300016 20167016683352 30250525025028 40334033366704 60501050050056 121002100100112