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131011141243242 = 2313151191389149711
BaseRepresentation
bin11101110010011101101000…
…100010010001000101101010
3122011212112122200122111210110
4131302131220202101011222
5114132441304124240432
61142345404251555150
736411146132362311
oct3562355042210552
9564775580574713
10131011141243242
1138820570862067
121283aa0615bab6
1358143b3acc540
14244cd8a161278
151022d78e9ddcc
hex77276889116a

131011141243242 has 128 divisors (see below), whose sum is σ = 286269656924160. Its totient is φ = 39731836320000.

The previous prime is 131011141243211. The next prime is 131011141243291. The reversal of 131011141243242 is 242342141110131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 875018767 + ... + 875168477.

It is an arithmetic number, because the mean of its divisors is an integer number (2236481694720).

Almost surely, 2131011141243242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131011141243242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143134828462080).

131011141243242 is an abundant number, since it is smaller than the sum of its proper divisors (155258515680918).

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

131011141243242 is a wasteful number, since it uses less digits than its factorization.

131011141243242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150460.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131011141243242 its reverse (242342141110131), we get a palindrome (373353282353373).

The spelling of 131011141243242 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-one million, two hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 151 191 302 382 389 453 573 778 906 1146 1167 1963 2334 2483 3926 4966 5057 5889 7449 10114 11778 14898 15171 28841 30342 57682 58739 74299 86523 117478 148598 149711 173046 176217 222897 299422 352434 374933 445794 449133 749866 763607 898266 965887 1124799 1527214 1931774 1946243 2249598 2290821 2897661 3892486 4581642 5795322 5838729 11219149 11677458 22438298 22606361 28594801 33657447 45212722 57189602 58237579 67314894 67819083 85784403 116475158 135638166 145848937 171568806 174712737 291697874 293882693 349425474 371732413 437546811 587765386 743464826 757088527 875093622 881648079 1115197239 1514177054 1763296158 2230394478 2271265581 4317814951 4542531162 8635629902 8793874429 11123377589 12953444853 17587748858 22246755178 25906889706 26381623287 33370132767 52763246574 56131594363 66740265534 112263188726 114320367577 144603908657 168394783089 228640735154 289207817314 336789566178 342961102731 433811725971 685922205462 867623451942 1679630015939 3359260031878 5038890047817 10077780095634 21835190207207 43670380414414 65505570621621 131011141243242