Search a number
-
+
121123103102100 = 2232521112234656879
BaseRepresentation
bin11011100010100100101011…
…100010001101010010010100
3120212212020220022101222202100
4123202210223202031102110
5111333440103343231400
61105335104014042100
734340566260063411
oct3342445342152224
9525766808358670
10121123103102100
1135659024034810
12117025761a9330
135277b23752858
1421ca5649c3108
15e00a534d0100
hex6e292b88d494

121123103102100 has 108 divisors (see below), whose sum is σ = 414167604701760. Its totient is φ = 29363176507200.

The previous prime is 121123103102087. The next prime is 121123103102101. The reversal of 121123103102100 is 1201301321121.

121123103102100 is a `hidden beast` number, since 1 + 2 + 112 + 31 + 0 + 310 + 210 + 0 = 666.

It is a super-2 number, since 2×1211231031021002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123103102101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6117318540 + ... + 6117338339.

It is an arithmetic number, because the mean of its divisors is an integer number (3834885228720).

Almost surely, 2121123103102100 is an apocalyptic number.

121123103102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121123103102100 is an abundant number, since it is smaller than the sum of its proper divisors (293044501599660).

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

121123103102100 is a wasteful number, since it uses less digits than its factorization.

121123103102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234656910 (or 12234656900 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121123103102100 its reverse (1201301321121), we get a palindrome (122324404423221).

The spelling of 121123103102100 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, one hundred three million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 12234656879 24469313758 36703970637 48938627516 61173284395 73407941274 110111911911 122346568790 134581225669 146815882548 183519853185 220223823822 244693137580 269162451338 305866421975 367039706370 403743677007 440447647644 538324902676 550559559555 611732843950 672906128345 734079412740 807487354014 917599265925 1101119119110 1211231031021 1223465687900 1345812256690 1614974708028 1835198531850 2018718385035 2202238238220 2422462062042 2691624513380 2752797797775 3364530641725 3670397063700 4037436770070 4844924124084 5505595595550 6056155155105 6729061283450 8074873540140 10093591925175 11011191191100 12112310310210 13458122566900 20187183850350 24224620620420 30280775775525 40374367700700 60561551551050 121123103102100