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131342223330 = 2345434780233
BaseRepresentation
bin111101001010010011…
…0110100011111100010
3110120000110120020220000
41322110212310133202
54122442102121310
6140200543400430
712326532322623
oct1722446643742
9416013506800
10131342223330
115077a29640a
12215562b3116
13c501ca4316
1464dd85ba4a
15363aae44c0
hex1e949b47e2

131342223330 has 160 divisors (see below), whose sum is σ = 369071265024. Its totient is φ = 33481776384.

The previous prime is 131342223323. The next prime is 131342223379. The reversal of 131342223330 is 33322243131.

131342223330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 422 + 233 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131342223294 and 131342223303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1596894 + ... + 1677126.

Almost surely, 2131342223330 is an apocalyptic number.

131342223330 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 131342223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184535632512).

131342223330 is an abundant number, since it is smaller than the sum of its proper divisors (237729041694).

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

131342223330 is a wasteful number, since it uses less digits than its factorization.

131342223330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80342 (or 80333 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 131342223330 its reverse (33322243131), we get a palindrome (164664466461).

The spelling of 131342223330 in words is "one hundred thirty-one billion, three hundred forty-two million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 47 54 81 86 90 94 129 135 141 162 215 235 258 270 282 387 405 423 430 470 645 705 774 810 846 1161 1269 1290 1410 1935 2021 2115 2322 2538 3483 3807 3870 4042 4230 5805 6063 6345 6966 7614 10105 11610 12126 12690 17415 18189 19035 20210 30315 34830 36378 38070 54567 60630 80233 90945 109134 160466 163701 181890 240699 272835 327402 401165 481398 545670 722097 802330 818505 1203495 1444194 1637010 2166291 2406990 3450019 3610485 3770951 4332582 6498873 6900038 7220970 7541902 10350057 10831455 11312853 12997746 17250095 18854755 20700114 21662910 22625706 31050171 32494365 33938559 34500190 37709510 51750285 56564265 62100342 64988730 67877118 93150513 101815677 103500570 113128530 155250855 162150893 169692795 186301026 203631354 279451539 305447031 310501710 324301786 339385590 465752565 486452679 509078385 558903078 610894062 810754465 931505130 972905358 1018156770 1397257695 1459358037 1527235155 1621508930 2432263395 2794515390 2918716074 3054470310 4378074111 4864526790 7296790185 8756148222 13134222333 14593580370 21890370555 26268444666 43780741110 65671111665 131342223330