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131030110002 = 2311312112571181
BaseRepresentation
bin111101000001000000…
…0001100111100110010
3110112012201021020220010
41322002000030330302
54121322202010002
6140105553555350
712316022362341
oct1720200147462
9415181236803
10131030110002
115062a099010
1221489875b56
13c482424a8c
1464b0213b58
15361d4e146c
hex1e8200cf32

131030110002 has 128 divisors (see below), whose sum is σ = 297910296576. Its totient is φ = 38062080000.

The previous prime is 131030109943. The next prime is 131030110067. The reversal of 131030110002 is 200011030131.

It is a self number, because there is not a number n which added to its sum of digits gives 131030110002.

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, 110947852 + ... + 110949032.

It is an arithmetic number, because the mean of its divisors is an integer number (2327424192).

Almost surely, 2131030110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131030110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148955148288).

131030110002 is an abundant number, since it is smaller than the sum of its proper divisors (166880186574).

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

131030110002 is a wasteful number, since it uses less digits than its factorization.

131030110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131030110002 its reverse (200011030131), we get a palindrome (331041140133).

The spelling of 131030110002 in words is "one hundred thirty-one billion, thirty million, one hundred ten thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 211 257 341 422 514 633 682 771 1023 1181 1266 1542 2046 2321 2362 2827 3543 4642 5654 6541 6963 7086 7967 8481 12991 13082 13926 15934 16962 19623 23901 25982 36611 38973 39246 47802 54227 71951 73222 77946 87637 108454 109833 143902 162681 175274 215853 219666 249191 262911 303517 325362 402721 431706 498382 525822 596497 607034 747573 805442 910551 1192994 1208163 1495146 1681037 1789491 1821102 2416326 2741101 3338687 3362074 3578982 5043111 5482202 6677374 7724921 8223303 9409027 10016061 10086222 15449842 16446606 18491407 18818054 20032122 23174763 28227081 36982814 46349526 55474221 56454162 64042087 84974131 103499297 110948442 128084174 169948262 192126261 206998594 254922393 310497891 384252522 509844786 620995782 704462957 1408925914 1985304697 2113388871 3970609394 4226777742 5955914091 11911828182 21838351667 43676703334 65515055001 131030110002