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135705506330 = 2519289422377
BaseRepresentation
bin111111001100010101…
…1011011001000011010
3110222021112211222221002
41332120223123020122
54210411102200310
6142201531545002
712542623525412
oct1763053331032
9428245758832
10135705506330
1152609247519
12223735bb162
13ca48c4cb94
1467d5139642
1537e3bc8da5
hex1f98adb21a

135705506330 has 48 divisors (see below), whose sum is σ = 260700149160. Its totient is φ = 50847312384.

The previous prime is 135705506329. The next prime is 135705506369. The reversal of 135705506330 is 33605507531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76919139649 + 58786366681 = 277343^2 + 242459^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110102 + ... + 532478.

Almost surely, 2135705506330 is an apocalyptic number.

135705506330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135705506330 is a deficient number, since it is larger than the sum of its proper divisors (124994642830).

135705506330 is a wasteful number, since it uses less digits than its factorization.

135705506330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422511 (or 422492 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 38.

The spelling of 135705506330 in words is "one hundred thirty-five billion, seven hundred five million, five hundred six thousand, three hundred thirty".

Divisors: 1 2 5 10 19 38 89 95 178 190 361 445 722 890 1691 1805 3382 3610 8455 16910 32129 64258 160645 321290 422377 844754 2111885 4223770 8025163 16050326 37591553 40125815 75183106 80251630 152478097 187957765 304956194 375915530 714239507 762390485 1428479014 1524780970 3571197535 7142395070 13570550633 27141101266 67852753165 135705506330