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2044010010300 = 22352167362311261
BaseRepresentation
bin11101101111101000011…
…111011001011010111100
321020101221120110000110120
4131233220133121122330
5231442113030312200
64203001044134540
7300450321264006
oct35575037313274
97211846400416
102044010010300
117189503aaa25
12290186997450
1311a99833179b
1470d05859376
1538281a659a0
hex1dbe87d96bc

2044010010300 has 144 divisors (see below), whose sum is σ = 5951586074112. Its totient is φ = 541607801600.

The previous prime is 2044010010293. The next prime is 2044010010347. The reversal of 2044010010300 is 30100104402.

It is a super-2 number, since 2×20440100103002 (a number of 25 digits) contains 22 as substring.

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 2044010010300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181506670 + ... + 181517930.

It is an arithmetic number, because the mean of its divisors is an integer number (41330458848).

Almost surely, 22044010010300 is an apocalyptic number.

2044010010300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044010010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975793037056).

2044010010300 is an abundant number, since it is smaller than the sum of its proper divisors (3907576063812).

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

2044010010300 is a wasteful number, since it uses less digits than its factorization.

2044010010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15068 (or 15061 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2044010010300 its reverse (30100104402), we get a palindrome (2074110114702).

The spelling of 2044010010300 in words is "two trillion, forty-four billion, ten million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 3623 4175 5010 7246 8350 10020 10869 11261 12525 14492 16700 18115 21738 22522 25050 33783 36230 43476 45044 50100 54345 56305 67566 72460 90575 108690 112610 135132 168915 181150 217380 225220 271725 281525 337830 362300 543450 563050 605041 675660 844575 1086900 1126100 1210082 1689150 1815123 1880587 2420164 3025205 3378300 3630246 3761174 5641761 6050410 7260492 7522348 9075615 9402935 11283522 12100820 15126025 18151230 18805870 22567044 28208805 30252050 36302460 37611740 40798603 45378075 47014675 56417610 60504100 81597206 90756150 94029350 112835220 122395809 141044025 163194412 181512300 188058700 203993015 244791618 282088050 407986030 489583236 564176100 611979045 815972060 1019965075 1223958090 2039930150 2447916180 3059895225 4079860300 6119790450 6813366701 12239580900 13626733402 20440100103 27253466804 34066833505 40880200206 68133667010 81760400412 102200500515 136267334020 170334167525 204401001030 340668335050 408802002060 511002502575 681336670100 1022005005150 2044010010300