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23213001300 = 22352596472027
BaseRepresentation
bin10101100111100110…
…100100101001010100
32012220202100122102220
4111213212210221110
5340020012020200
614355223102340
71451145153426
oct254746445124
965822318386
1023213001300
1199321524a5
1245b9ba19b0
13225c249138
1411a2cd6816
1590cd864a0
hex5679a4a54

23213001300 has 144 divisors (see below), whose sum is σ = 68440619520. Its totient is φ = 6072813440.

The previous prime is 23213001299. The next prime is 23213001319. The reversal of 23213001300 is 310031232.

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 23213001300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11450887 + ... + 11452913.

It is an arithmetic number, because the mean of its divisors is an integer number (475282080).

Almost surely, 223213001300 is an apocalyptic number.

23213001300 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 23213001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34220309760).

23213001300 is an abundant number, since it is smaller than the sum of its proper divisors (45227618220).

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

23213001300 is a wasteful number, since it uses less digits than its factorization.

23213001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23213001300 its reverse (310031232), we get a palindrome (23523032532).

The spelling of 23213001300 in words is "twenty-three billion, two hundred thirteen million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 647 708 885 1180 1294 1475 1770 1941 2027 2588 2950 3235 3540 3882 4054 4425 5900 6081 6470 7764 8108 8850 9705 10135 12162 12940 16175 17700 19410 20270 24324 30405 32350 38173 38820 40540 48525 50675 60810 64700 76346 97050 101350 114519 119593 121620 152025 152692 190865 194100 202700 229038 239186 304050 358779 381730 458076 478372 572595 597965 608100 717558 763460 954325 1145190 1195930 1311469 1435116 1793895 1908650 2290380 2391860 2622938 2862975 2989825 3587790 3817300 3934407 5245876 5725950 5979650 6557345 7175580 7868814 8969475 11451900 11959300 13114690 15737628 17938950 19672035 26229380 32786725 35877900 39344070 65573450 77376671 78688140 98360175 131146900 154753342 196720350 232130013 309506684 386883355 393440700 464260026 773766710 928520052 1160650065 1547533420 1934416775 2321300130 3868833550 4642600260 5803250325 7737667100 11606500650 23213001300