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10001344242300 = 22352164112031431
BaseRepresentation
bin1001000110001001111010…
…0100100010001001111100
31022102010012212122211121020
42101202132210202021330
52302330223111223200
633134315404504140
72051400430252125
oct221423644421174
938363185584536
1010001344242300
1132066010aa174
1211563b1b4b050
135771797b3c78
142680d388904c
15125257e71ea0
hex9189e92227c

10001344242300 has 72 divisors (see below), whose sum is σ = 28939000202112. Its totient is φ = 2666861304000.

The previous prime is 10001344242271. The next prime is 10001344242301. The reversal of 10001344242300 is 324244310001.

It is a super-2 number, since 2×100013442423002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001344242301) 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, 3907585 + ... + 5939015.

Almost surely, 210001344242300 is an apocalyptic number.

10001344242300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001344242300 is an abundant number, since it is smaller than the sum of its proper divisors (18937655959812).

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

10001344242300 is a wasteful number, since it uses less digits than its factorization.

10001344242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047859 (or 2047852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10001344242300 its reverse (324244310001), we get a palindrome (10325588552301).

The spelling of 10001344242300 in words is "ten trillion, one billion, three hundred forty-four million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 16411 32822 49233 65644 82055 98466 164110 196932 246165 328220 410275 492330 820550 984660 1230825 1641100 2031431 2461650 4062862 4923300 6094293 8125724 10157155 12188586 20314310 24377172 30471465 40628620 50785775 60942930 101571550 121885860 152357325 203143100 304714650 609429300 33337814141 66675628282 100013442423 133351256564 166689070705 200026884846 333378141410 400053769692 500067212115 666756282820 833445353525 1000134424230 1666890707050 2000268848460 2500336060575 3333781414100 5000672121150 10001344242300