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201312201300 = 223527432229371
BaseRepresentation
bin1011101101111100100…
…1000110101001010100
3201020121210102102021120
42323133021012221110
511244241410420200
6232252003043540
720354463322530
oct2733711065124
9636553372246
10201312201300
1178415542491
12330230705b0
1315ca3139952
149a5a49abc0
1553837749a0
hex2edf246a54

201312201300 has 144 divisors (see below), whose sum is σ = 681153403392. Its totient is φ = 44944099200.

The previous prime is 201312201271. The next prime is 201312201379. The reversal of 201312201300 is 3102213102.

201312201300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 201312201300.

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, 1024386 + ... + 1204985.

It is an arithmetic number, because the mean of its divisors is an integer number (4730231968).

Almost surely, 2201312201300 is an apocalyptic number.

201312201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201312201300 is an abundant number, since it is smaller than the sum of its proper divisors (479841202092).

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

201312201300 is a wasteful number, since it uses less digits than its factorization.

201312201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229438 (or 2229431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201312201300 its reverse (3102213102), we get a palindrome (204414414402).

The spelling of 201312201300 in words is "two hundred one billion, three hundred twelve million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300 2229371 4458742 6688113 8917484 11146855 13376226 15605597 22293710 26752452 31211194 33440565 44587420 46816791 55734275 62422388 66881130 78027985 93633582 95862953 111468550 133762260 156055970 167202825 187267164 191725906 222937100 234083955 287588859 312111940 334405650 383451812 390139925 468167910 479314765 575177718 668811300 671040671 780279850 936335820 958629530 1150355436 1170419775 1342081342 1437944295 1560559700 1917259060 2013122013 2340839550 2396573825 2684162684 2875888590 3355203355 4026244026 4681679100 4793147650 5751777180 6710406710 7189721475 8052488052 9586295300 10065610065 13420813420 14379442950 16776016775 20131220130 28758885900 33552033550 40262440260 50328050325 67104067100 100656100650 201312201300