Search a number
-
+
120135070101255 = 35112418273365179
BaseRepresentation
bin11011010100001100100000…
…001011011010111100000111
3120202100210121121000002222020
4123110030200023122330013
5111221243110421220010
61103301142253534223
734206321013123626
oct3324144013327407
9522323547002866
10120135070101255
1135307aa7180470
1211582b93aa4373
1352058c4835a01
1421947d5a476bd
15dd4ec766b470
hex6d43202daf07

120135070101255 has 64 divisors (see below), whose sum is σ = 210586416606720. Its totient is φ = 57998446387200.

The previous prime is 120135070101247. The next prime is 120135070101257. The reversal of 120135070101255 is 552101070531021.

It is not a de Polignac number, because 120135070101255 - 23 = 120135070101247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120135070101257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328793256 + ... + 329158434.

It is an arithmetic number, because the mean of its divisors is an integer number (3290412759480).

Almost surely, 2120135070101255 is an apocalyptic number.

120135070101255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120135070101255 is a deficient number, since it is larger than the sum of its proper divisors (90451346505465).

120135070101255 is a wasteful number, since it uses less digits than its factorization.

120135070101255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373712.

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 120135070101255 in words is "one hundred twenty trillion, one hundred thirty-five billion, seventy million, one hundred one thousand, two hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 165 241 723 1205 2651 3615 7953 8273 13255 24819 39765 41365 91003 124095 273009 365179 455015 1095537 1365045 1825895 1993793 4016969 5477685 5981379 9968965 12050907 20084845 21931723 29906895 60254535 65795169 88008139 109658615 264024417 328975845 440040695 968089529 1320122085 2904268587 3021125867 4840447645 9063377601 14521342935 15105629335 33232384537 45316888005 99697153611 166161922685 498485768055 728091333947 2184274001841 3640456669735 8009004673417 10921370009205 24027014020251 40045023367085 120135070101255