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101234342040 = 23351393769257
BaseRepresentation
bin101111001001000001…
…0010111100010011000
3100200022012021102012120
41132102002113202120
53124311442421130
6114301215141240
710212452465226
oct1362202274230
9320265242176
10101234342040
1139a2a168597
1217753214820
139714469350
144c84d6db16
1529777aa910
hex1792097898

101234342040 has 128 divisors (see below), whose sum is σ = 327418580160. Its totient is φ = 24892268544.

The previous prime is 101234342023. The next prime is 101234342051. The reversal of 101234342040 is 40243432101.

It is a super-2 number, since 2×1012343420402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101234342040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427092 + ... + 1496348.

Almost surely, 2101234342040 is an apocalyptic number.

101234342040 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 101234342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163709290080).

101234342040 is an abundant number, since it is smaller than the sum of its proper divisors (226184238120).

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

101234342040 is a wasteful number, since it uses less digits than its factorization.

101234342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70221 (or 70217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101234342040 its reverse (40243432101), we get a palindrome (141477774141).

The spelling of 101234342040 in words is "one hundred one billion, two hundred thirty-four million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 937 1560 1874 2811 3748 4685 5622 7496 9370 11244 12181 14055 18740 22488 24362 28110 36543 37480 48724 56220 60905 69257 73086 97448 112440 121810 138514 146172 182715 207771 243620 277028 292344 346285 365430 415542 487240 554056 692570 730860 831084 900341 1038855 1385140 1461720 1662168 1800682 2077710 2701023 2770280 3601364 4155420 4501705 5402046 7202728 8310840 9003410 10804092 13505115 18006820 21608184 27010230 36013640 54020460 64893809 108040920 129787618 194681427 259575236 324469045 389362854 519150472 648938090 778725708 843619517 973407135 1297876180 1557451416 1687239034 1946814270 2530858551 2595752360 3374478068 3893628540 4218097585 5061717102 6748956136 7787257080 8436195170 10123434204 12654292755 16872390340 20246868408 25308585510 33744780680 50617171020 101234342040