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10023013210000 = 24547220455129
BaseRepresentation
bin1001000111011010101000…
…1001000101011110010000
31022111012011000122110010111
42101312222021011132100
52303204112340210000
633152301514011104
72053065416403100
oct221665211053620
938435130573114
1010023013210000
11321481072633a
12115a63aa16a94
13579220b9134b
1426918b699200
15125ac54b1cba
hex91daa245790

10023013210000 has 150 divisors (see below), whose sum is σ = 28228631688510. Its totient is φ = 3436461504000.

The previous prime is 10023013209919. The next prime is 10023013210009. The reversal of 10023013210000 is 1231032001.

It can be written as a sum of positive squares in 5 ways, for example, as 2852207567104 + 7170805642896 = 1688848^2 + 2677836^2 .

It is not an unprimeable number, because it can be changed into a prime (10023013210009) 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 29 ways as a sum of consecutive naturals, for example, 9737565 + ... + 10717564.

Almost surely, 210023013210000 is an apocalyptic number.

10023013210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023013210000 is an abundant number, since it is smaller than the sum of its proper divisors (18205618478510).

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

10023013210000 is an equidigital number, since it uses as much as digits as its factorization.

10023013210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20455171 (or 20455143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10023013210000 its reverse (1231032001), we get a palindrome (10024244242001).

The spelling of 10023013210000 in words is "ten trillion, twenty-three billion, thirteen million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 490000 20455129 40910258 81820516 102275645 143185903 163641032 204551290 286371806 327282064 409102580 511378225 572743612 715929515 818205160 1002301321 1022756450 1145487224 1431859030 1636410320 2004602642 2045512900 2290974448 2556891125 2863718060 3579647575 4009205284 4091025800 5011506605 5113782250 5727436120 7159295150 8018410568 8182051600 10023013210 10227564500 11454872240 12784455625 14318590300 16036821136 17898237875 20046026420 20455129000 25057533025 25568911250 28637180600 35796475750 40092052840 40910258000 50115066050 51137822500 57274361200 71592951500 80184105680 89491189375 100230132100 102275645000 125287665125 143185903000 178982378750 200460264200 204551290000 250575330250 286371806000 357964757500 400920528400 501150660500 626438325625 715929515000 1002301321000 1252876651250 1431859030000 2004602642000 2505753302500 5011506605000 10023013210000