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10130122021200 = 2435277310920787
BaseRepresentation
bin1001001101101001101001…
…0100110001100101010000
31022212102121121202211001220
42103122122110301211100
52311432442214134300
633313414103325040
72063606603311506
oct223323224614520
938772547684056
1010130122021200
113256184875515
121177351450780
135863603b3c3c
1427042c8bc676
1512879385ada0
hex9369a531950

10130122021200 has 120 divisors (see below), whose sum is σ = 32492140021728. Its totient is φ = 2697870973440.

The previous prime is 10130122021189. The next prime is 10130122021207. The reversal of 10130122021200 is 212022103101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130122021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130122021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4532794 + ... + 6387993.

Almost surely, 210130122021200 is an apocalyptic number.

10130122021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130122021200 is an abundant number, since it is smaller than the sum of its proper divisors (22362018000528).

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

10130122021200 is a wasteful number, since it uses less digits than its factorization.

10130122021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921581 (or 10921570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10130122021200 its reverse (212022103101), we get a palindrome (10342144124301).

The spelling of 10130122021200 in words is "ten trillion, one hundred thirty billion, one hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 773 1200 1546 2319 3092 3865 4638 6184 7730 9276 11595 12368 15460 18552 19325 23190 30920 37104 38650 46380 57975 61840 77300 92760 115950 154600 185520 231900 309200 463800 927600 10920787 21841574 32762361 43683148 54603935 65524722 87366296 109207870 131049444 163811805 174732592 218415740 262098888 273019675 327623610 436831480 524197776 546039350 655247220 819059025 873662960 1092078700 1310494440 1638118050 2184157400 2620988880 3276236100 4368314800 6552472200 8441768351 13104944400 16883536702 25325305053 33767073404 42208841755 50650610106 67534146808 84417683510 101301220212 126626525265 135068293616 168835367020 202602440424 211044208775 253253050530 337670734040 405204880848 422088417550 506506101060 633132626325 675341468080 844176835100 1013012202120 1266265252650 1688353670200 2026024404240 2532530505300 3376707340400 5065061010600 10130122021200