Search a number
-
+
102341141100 = 2232521110337489
BaseRepresentation
bin101111101010000000…
…0011110001001101100
3100210011022220122002100
41133110000132021230
53134043313003400
6115003113455100
710252052226522
oct1372400361154
9323138818070
10102341141100
113a4479a7060
1217a01a11490
13985c85a933
144d4bd5c312
1529dea36100
hex17d401e26c

102341141100 has 108 divisors (see below), whose sum is σ = 349944711480. Its totient is φ = 24809971200.

The previous prime is 102341141099. The next prime is 102341141101. The reversal of 102341141100 is 1141143201.

102341141100 is a `hidden beast` number, since 10 + 234 + 11 + 411 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102341141099) and next prime (102341141101).

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

It is not an unprimeable number, because it can be changed into a prime (102341141101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5158845 + ... + 5178644.

It is an arithmetic number, because the mean of its divisors is an integer number (3240228810).

Almost surely, 2102341141100 is an apocalyptic number.

102341141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102341141100 is an abundant number, since it is smaller than the sum of its proper divisors (247603570380).

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

102341141100 is a wasteful number, since it uses less digits than its factorization.

102341141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337520 (or 10337510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102341141100 its reverse (1141143201), we get a palindrome (103482284301).

The spelling of 102341141100 in words is "one hundred two billion, three hundred forty-one million, one hundred forty-one 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 10337489 20674978 31012467 41349956 51687445 62024934 93037401 103374890 113712379 124049868 155062335 186074802 206749780 227424758 258437225 310124670 341137137 372149604 454849516 465187005 516874450 568561895 620249340 682274274 775311675 930374010 1023411411 1033748900 1137123790 1364548548 1550623350 1705685685 1860748020 2046822822 2274247580 2325935025 2842809475 3101246700 3411371370 4093645644 4651870050 5117057055 5685618950 6822742740 8528428425 9303740100 10234114110 11371237900 17056856850 20468228220 25585285275 34113713700 51170570550 102341141100