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12132030230010 = 23251737699101207
BaseRepresentation
bin1011000010001011010101…
…0110100010110111111010
31120221210220001020201102100
42300202311112202313322
53042232344214330020
641445213332044230
72361340006315545
oct260426526426772
946853801221370
1012132030230010
11395818a868879
12143b328463676
136a0079094342
142dd29c97185c
151608ae118a90
hexb08b55a2dfa

12132030230010 has 96 divisors (see below), whose sum is σ = 31730043945600. Its totient is φ = 3216057876864.

The previous prime is 12132030229967. The next prime is 12132030230039. The reversal of 12132030230010 is 1003203023121.

12132030230010 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 30 + 2 + 300 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119822827 + ... + 119924033.

It is an arithmetic number, because the mean of its divisors is an integer number (330521291100).

Almost surely, 212132030230010 is an apocalyptic number.

12132030230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132030230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865021972800).

12132030230010 is an abundant number, since it is smaller than the sum of its proper divisors (19598013715590).

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

12132030230010 is a wasteful number, since it uses less digits than its factorization.

12132030230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109092 (or 109089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12132030230010 its reverse (1003203023121), we get a palindrome (13135233253131).

The spelling of 12132030230010 in words is "twelve trillion, one hundred thirty-two billion, thirty million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7699 7785 15398 15570 23097 38495 46194 69291 76990 101207 115485 138582 202414 230970 303621 346455 506035 607242 692910 910863 1012070 1331927 1518105 1821726 2663854 3036210 3995781 4554315 6659635 7991562 9108630 11987343 13319270 17508811 19978905 23974686 35017622 39957810 52526433 59936715 87544055 105052866 119873430 157579299 175088110 262632165 315158598 525264330 779192693 787896495 1558385386 1575792990 2337578079 3895963465 4675156158 7012734237 7791926930 11687890395 14025468474 23375780790 35063671185 70127342370 134800335889 269600671778 404401007667 674001679445 808802015334 1213203023001 1348003358890 2022005038335 2426406046002 4044010076670 6066015115005 12132030230010