Search a number
-
+
102231231120 = 24325853166457
BaseRepresentation
bin101111100110101110…
…1001100101010010000
3100202212200002121221100
41133031131030222100
53133332143343440
6114544150024400
710246246061334
oct1371535145220
9322780077840
10102231231120
113a3a0957067
1217991048100
139842b57545
144d3b50b7c4
1529d5075230
hex17cd74ca90

102231231120 has 120 divisors (see below), whose sum is σ = 343731109176. Its totient is φ = 27229538304.

The previous prime is 102231231103. The next prime is 102231231163. The reversal of 102231231120 is 21132132201.

102231231120 is a `hidden beast` number, since 1 + 0 + 22 + 312 + 311 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1937408256 + 100293822864 = 44016^2 + 316692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 102231231093 and 102231231102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530932 + ... + 697388.

Almost surely, 2102231231120 is an apocalyptic number.

102231231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102231231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171865554588).

102231231120 is an abundant number, since it is smaller than the sum of its proper divisors (241499878056).

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

102231231120 is a wasteful number, since it uses less digits than its factorization.

102231231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167329 (or 167320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102231231120 its reverse (21132132201), we get a palindrome (123363363321).

The spelling of 102231231120 in words is "one hundred two billion, two hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 853 1706 2559 3412 4265 5118 6824 7677 8530 10236 12795 13648 15354 17060 20472 25590 30708 34120 38385 40944 51180 61416 68240 76770 102360 122832 153540 166457 204720 307080 332914 499371 614160 665828 832285 998742 1331656 1498113 1664570 1997484 2496855 2663312 2996226 3329140 3994968 4993710 5992452 6658280 7490565 7989936 9987420 11984904 13316560 14981130 19974840 23969808 29962260 39949680 59924520 119849040 141987821 283975642 425963463 567951284 709939105 851926926 1135902568 1277890389 1419878210 1703853852 2129817315 2271805136 2555780778 2839756420 3407707704 4259634630 5111561556 5679512840 6389451945 6815415408 8519269260 10223123112 11359025680 12778903890 17038538520 20446246224 25557807780 34077077040 51115615560 102231231120