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135321001241130 = 2325107101771380763
BaseRepresentation
bin11110110001001011100000…
…001101011010101000101010
3122202010120011020121000210200
4132301023200031122220222
5120214044402304204010
61155445335413053030
740334422363043445
oct3661134015325052
9582116136530720
10135321001241130
113a132350431311
1213216149627176
135a6793c405a43
14255b7ddd2065c
15109a02306dcc0
hex7b12e035aa2a

135321001241130 has 96 divisors (see below), whose sum is σ = 355157928949824. Its totient is φ = 35744813180928.

The previous prime is 135321001241123. The next prime is 135321001241141. The reversal of 135321001241130 is 31142100123531.

135321001241130 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 210 + 0 + 1 + 2 + 411 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135321001241094 and 135321001241103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97314129 + ... + 98694891.

It is an arithmetic number, because the mean of its divisors is an integer number (3699561759894).

Almost surely, 2135321001241130 is an apocalyptic number.

135321001241130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135321001241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177578964474912).

135321001241130 is an abundant number, since it is smaller than the sum of its proper divisors (219836927708694).

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

135321001241130 is a wasteful number, since it uses less digits than its factorization.

135321001241130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391060 (or 1391057 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 135321001241130 its reverse (31142100123531), we get a palindrome (166463101364661).

The spelling of 135321001241130 in words is "one hundred thirty-five trillion, three hundred twenty-one billion, one million, two hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 10177 20354 30531 50885 61062 91593 101770 152655 183186 305310 457965 915930 1088939 1380763 2177878 2761526 3266817 4142289 5444695 6533634 6903815 8284578 9800451 10889390 12426867 13807630 16334085 19600902 20711445 24853734 32668170 41422890 49002255 62134335 98004510 124268670 147741641 295483282 443224923 738708205 886449846 1329674769 1477416410 2216124615 2659349538 4432249230 6648373845 13296747690 14052025051 28104050102 42156075153 70260125255 84312150306 126468225459 140520250510 210780375765 252936450918 421560751530 632341127295 1264682254590 1503566680457 3007133360914 4510700041371 7517833402285 9021400082742 13532100124113 15035666804570 22553500206855 27064200248226 45107000413710 67660500620565 135321001241130