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300112202100 = 2235210327135839
BaseRepresentation
bin1000101111000000001…
…01001100100101110100
31001200122100001111002110
410113200011030211310
514404112210431400
6345511502011020
730453026425224
oct4274005144564
91050570044073
10300112202100
11106305572407
124a1b6b76a70
13223ba155399
141074ddcc084
157c17473e50
hex45e014c974

300112202100 has 144 divisors (see below), whose sum is σ = 880014786560. Its totient is φ = 78958281600.

The previous prime is 300112202057. The next prime is 300112202101. The reversal of 300112202100 is 1202211003.

It is a super-2 number, since 2×3001122021002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300112202101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8355981 + ... + 8391819.

Almost surely, 2300112202100 is an apocalyptic number.

300112202100 is a gapful number since it is divisible by the number (30) 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 300112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440007393280).

300112202100 is an abundant number, since it is smaller than the sum of its proper divisors (579902584460).

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

300112202100 is a wasteful number, since it uses less digits than its factorization.

300112202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36230 (or 36223 counting only the distinct ones).

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

Adding to 300112202100 its reverse (1202211003), we get a palindrome (301314413103).

The spelling of 300112202100 in words is "three hundred billion, one hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 271 300 309 412 515 542 618 813 1030 1084 1236 1355 1545 1626 2060 2575 2710 3090 3252 4065 5150 5420 6180 6775 7725 8130 10300 13550 15450 16260 20325 27100 27913 30900 35839 40650 55826 71678 81300 83739 107517 111652 139565 143356 167478 179195 215034 279130 334956 358390 418695 430068 537585 558260 697825 716780 837390 895975 1075170 1395650 1674780 1791950 2093475 2150340 2687925 2791300 3583900 3691417 4186950 5375850 7382834 8373900 9712369 10751700 11074251 14765668 18457085 19424738 22148502 29137107 36914170 38849476 44297004 48561845 55371255 58274214 73828340 92285425 97123690 110742510 116548428 145685535 184570850 194247380 221485020 242809225 276856275 291371070 369141700 485618450 553712550 582742140 728427675 971236900 1000374007 1107425100 1456855350 2000748014 2913710700 3001122021 4001496028 5001870035 6002244042 10003740070 12004488084 15005610105 20007480140 25009350175 30011220210 50018700350 60022440420 75028050525 100037400700 150056101050 300112202100