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131011443223410 = 235175919122795739
BaseRepresentation
bin11101110010011101111010…
…100010001110101101110010
3122011212120102201212200201010
4131302131322202032231302
5114132442413431122120
61142345454240251350
736411156460230051
oct3562357242165562
9564776381780633
10131011443223410
1138820706269252
121283aa8b310b56
135814431541729
14244cdb82cc398
151022d9574e7e0
hex77277a88eb72

131011443223410 has 128 divisors (see below), whose sum is σ = 340338574540800. Its totient is φ = 32154756193280.

The previous prime is 131011443223387. The next prime is 131011443223411. The reversal of 131011443223410 is 14322344110131.

It is a super-2 number, since 2×1310114432234102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131011443223411) 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, 5650680 + ... + 17145059.

It is an arithmetic number, because the mean of its divisors is an integer number (2658895113600).

Almost surely, 2131011443223410 is an apocalyptic number.

131011443223410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131011443223410 is an abundant number, since it is smaller than the sum of its proper divisors (209327131317390).

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

131011443223410 is a wasteful number, since it uses less digits than its factorization.

131011443223410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22796016.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131011443223410 its reverse (14322344110131), we get a palindrome (145333787333541).

The spelling of 131011443223410 in words is "one hundred thirty-one trillion, eleven billion, four hundred forty-three million, two hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 85 102 118 170 177 191 255 295 354 382 510 573 590 885 955 1003 1146 1770 1910 2006 2865 3009 3247 5015 5730 6018 6494 9741 10030 11269 15045 16235 19482 22538 30090 32470 33807 48705 56345 67614 97410 112690 169035 191573 338070 383146 574719 957865 1149438 1915730 2873595 5747190 22795739 45591478 68387217 113978695 136774434 227957390 341936085 387527563 683872170 775055126 1162582689 1344948601 1937637815 2325165378 2689897202 3875275630 4034845803 4353986149 5812913445 6724743005 8069691606 8707972298 11625826890 13061958447 13449486010 20174229015 21769930745 22864126217 26123916894 40348458030 43539861490 45728252434 65309792235 68592378651 74017764533 114320631085 130619584470 137184757302 148035529066 222053293599 228641262170 256885182791 342961893255 370088822665 444106587198 513770365582 685923786510 740177645330 770655548373 1110266467995 1284425913955 1541311096746 2220532935990 2568851827910 3853277741865 4367048107447 7706555483730 8734096214894 13101144322341 21835240537235 26202288644682 43670481074470 65505721611705 131011443223410