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101012310130212 = 2232132713469229591
BaseRepresentation
bin10110111101111011000010…
…110111001111111000100100
3111020122200102120102100210100
4112331323002313033320210
5101214441202343131322
6554500225322024100
730163620132235605
oct2675730267177044
9436580376370710
10101012310130212
112a2050977570a8
12b3b4a42348030
13444955c8accb0
141ad3044125dac
15ba2866b16dac
hex5bdec2dcfe24

101012310130212 has 144 divisors (see below), whose sum is σ = 276073396318720. Its totient is φ = 30956960505600.

The previous prime is 101012310130049. The next prime is 101012310130213. The reversal of 101012310130212 is 212031013210101.

101012310130212 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 12 + 310 + 130 + 212 = 666.

It is a super-3 number, since 3×1010123101302123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101012310130213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439851537 + ... + 440081127.

Almost surely, 2101012310130212 is an apocalyptic number.

101012310130212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012310130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138036698159360).

101012310130212 is an abundant number, since it is smaller than the sum of its proper divisors (175061086188508).

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

101012310130212 is a wasteful number, since it uses less digits than its factorization.

101012310130212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233354 (or 233349 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101012310130212 its reverse (212031013210101), we get a palindrome (313043323340313).

The spelling of 101012310130212 in words is "one hundred one trillion, twelve billion, three hundred ten million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 271 468 542 813 1084 1626 2439 3252 3469 3523 4878 6938 7046 9756 10407 10569 13876 14092 20814 21138 31221 31707 41628 42276 45097 62442 63414 90194 124884 126828 135291 180388 229591 270582 405873 459182 541164 688773 811746 918364 940099 1377546 1623492 1880198 2066319 2755092 2820297 2984683 3760396 4132638 5640594 5969366 8265276 8460891 8954049 11281188 11938732 12221287 16921782 17908098 24442574 26862147 33843564 35816196 36663861 48885148 53724294 62219161 73327722 107448588 109991583 124438322 146655444 186657483 219983166 248876644 373314966 439966332 559972449 746629932 796451179 808849093 1119944898 1592902358 1617698186 2239889796 2389353537 2426547279 3185804716 3235396372 4778707074 4853094558 7168060611 7279641837 9557414148 9706189116 10353865327 14336121222 14559283674 20707730654 28672242444 29118567348 31061595981 41415461308 62123191962 93184787943 124246383924 186369575886 215838269509 372739151772 431676539018 647514808527 863353078036 1295029617054 1942544425581 2590059234108 2805897503617 3885088851162 5611795007234 7770177702324 8417692510851 11223590014468 16835385021702 25253077532553 33670770043404 50506155065106 101012310130212