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2304311042100 = 2235271877912323
BaseRepresentation
bin100001100010000011101…
…001000010000000110100
322011021211101202111201010
4201202003221002000310
5300223212111321400
64522330314432220
7325323655453314
oct41420351020064
98137741674633
102304311042100
118092865678a1
12312711132670
131393ac57a462
147d75a391444
153ee18da2450
hex21883a42034

2304311042100 has 144 divisors (see below), whose sum is σ = 6762362181120. Its totient is φ = 605710089600.

The previous prime is 2304311042093. The next prime is 2304311042119. The reversal of 2304311042100 is 12401134032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186986539 + ... + 186998861.

It is an arithmetic number, because the mean of its divisors is an integer number (46960848480).

Almost surely, 22304311042100 is an apocalyptic number.

2304311042100 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 2304311042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381181090560).

2304311042100 is an abundant number, since it is smaller than the sum of its proper divisors (4458051139020).

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

2304311042100 is a wasteful number, since it uses less digits than its factorization.

2304311042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21190 (or 21183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2304311042100 its reverse (12401134032), we get a palindrome (2316712176132).

The spelling of 2304311042100 in words is "two trillion, three hundred four billion, three hundred eleven million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 8779 10650 12323 17558 21300 24646 26337 35116 36969 43895 49292 52674 61615 73938 87790 105348 123230 131685 147876 175580 184845 219475 246460 263370 308075 369690 438950 526740 616150 623309 658425 739380 874933 877900 924225 1232300 1246618 1316850 1749866 1848450 1869927 2493236 2624799 2633700 3116545 3499732 3696900 3739854 4374665 5249598 6233090 7479708 8749330 9349635 10499196 12466180 13123995 15582725 17498660 18699270 21873325 26247990 31165450 37398540 43746650 46748175 52495980 62330900 65619975 87493300 93496350 108183617 131239950 186992700 216367234 262479900 324550851 432734468 540918085 649101702 1081836170 1298203404 1622754255 2163672340 2704590425 3245508510 5409180850 6491017020 7681036807 8113771275 10818361700 15362073614 16227542550 23043110421 30724147228 32455085100 38405184035 46086220842 76810368070 92172441684 115215552105 153620736140 192025920175 230431104210 384051840350 460862208420 576077760525 768103680700 1152155521050 2304311042100