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12130123101030 = 232511117110463407
BaseRepresentation
bin1011000010000100001110…
…1011011011001101100110
31120221121222010122112021200
42300201003223123031212
53042214443003213110
641444300203423330
72361241521065004
oct260410353331546
946847863575250
1012130123101030
1139573a1293620
12143aa95824b46
1369cb33c3595c
142dd15b56da74
151607eb99d6c0
hexb0843adb366

12130123101030 has 96 divisors (see below), whose sum is σ = 34434824606208. Its totient is φ = 2938124404800.

The previous prime is 12130123101007. The next prime is 12130123101059. The reversal of 12130123101030 is 3010132103121.

12130123101030 is a `hidden beast` number, since 1 + 21 + 301 + 2 + 310 + 1 + 0 + 30 = 666.

It is a super-2 number, since 2×121301231010302 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12130123100994 and 12130123101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4072414 + ... + 6390993.

It is an arithmetic number, because the mean of its divisors is an integer number (358696089648).

Almost surely, 212130123101030 is an apocalyptic number.

12130123101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12130123101030 is an abundant number, since it is smaller than the sum of its proper divisors (22304701505178).

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

12130123101030 is a wasteful number, since it uses less digits than its factorization.

12130123101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464602 (or 10464599 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12130123101030 its reverse (3010132103121), we get a palindrome (15140255204151).

The spelling of 12130123101030 in words is "twelve trillion, one hundred thirty billion, one hundred twenty-three million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1171 2342 3513 5855 7026 10539 11710 12881 17565 21078 25762 35130 38643 52695 64405 77286 105390 115929 128810 193215 231858 386430 579645 1159290 10463407 20926814 31390221 52317035 62780442 94170663 104634070 115097477 156951105 188341326 230194954 313902210 345292431 470853315 575487385 690584862 941706630 1035877293 1150974770 1726462155 2071754586 3452924310 5179386465 10358772930 12252649597 24505299194 36757948791 61263247985 73515897582 110273846373 122526495970 134779145567 183789743955 220547692746 269558291134 367579487910 404337436701 551369231865 673895727835 808674873402 1102738463730 1213012310103 1347791455670 2021687183505 2426024620206 4043374367010 6065061550515 12130123101030