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10001200230210 = 23571072437182639
BaseRepresentation
bin1001000110001001010111…
…1111001010111101000010
31022102002211211200021011010
42101202111333022331002
52302324424224331320
633134253222101350
72051364031211610
oct221422577127502
938362754607133
1010001200230210
113206537887812
12115637187a856
13577155a00707
142680bc6bc6b0
1512524a4c6ae0
hex91895fcaf42

10001200230210 has 128 divisors (see below), whose sum is σ = 27699749314560. Its totient is φ = 2263682582784.

The previous prime is 10001200230179. The next prime is 10001200230269. The reversal of 10001200230210 is 1203200210001.

10001200230210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 54668071 + ... + 54850709.

It is an arithmetic number, because the mean of its divisors is an integer number (216404291520).

Almost surely, 210001200230210 is an apocalyptic number.

10001200230210 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 10001200230210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849874657280).

10001200230210 is an abundant number, since it is smaller than the sum of its proper divisors (17698549084350).

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

10001200230210 is a wasteful number, since it uses less digits than its factorization.

10001200230210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185200.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001200230210 its reverse (1203200210001), we get a palindrome (11204400440211).

The spelling of 10001200230210 in words is "ten trillion, one billion, two hundred million, two hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 2437 3210 3745 4494 4874 7311 7490 11235 12185 14622 17059 22470 24370 34118 36555 51177 73110 85295 102354 170590 182639 255885 260759 365278 511770 521518 547917 782277 913195 1095834 1278473 1303795 1564554 1825313 1826390 2556946 2607590 2739585 3650626 3835419 3911385 5475939 5479170 6392365 7670838 7822770 9126565 10951878 12784730 18253130 19177095 19542373 27379695 38354190 39084746 54759390 58627119 97711865 117254238 136796611 195423730 273593222 293135595 410389833 445091243 586271190 683983055 820779666 890182486 1335273729 1367966110 2051949165 2225456215 2670547458 3115638701 4103898330 4450912430 6231277402 6676368645 9346916103 13352737290 15578193505 18693832206 31156387010 46734580515 47624763001 93469161030 95249526002 142874289003 238123815005 285748578006 333373341007 476247630010 666746682014 714371445015 1000120023021 1428742890030 1666866705035 2000240046042 3333733410070 5000600115105 10001200230210