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10300211201220 = 22356071949145109
BaseRepresentation
bin1001010111100011010001…
…1011100000010011000100
31100110200122102120102011220
42111320310123200103010
52322224313031414340
633523503545000340
72112110556425643
oct225706433402304
940420572512156
1010300211201220
113311327773986
1211a42bba830b0
135993c8963965
1427876632b35a
1512cdeae1eed0
hex95e346e04c4

10300211201220 has 96 divisors (see below), whose sum is σ = 28903125888000. Its totient is φ = 2740772043264.

The previous prime is 10300211201131. The next prime is 10300211201233. The reversal of 10300211201220 is 2210211200301.

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 10300211201220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70910026 + ... + 71055134.

It is an arithmetic number, because the mean of its divisors is an integer number (301074228000).

Almost surely, 210300211201220 is an apocalyptic number.

10300211201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300211201220 is an abundant number, since it is smaller than the sum of its proper divisors (18602914686780).

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

10300211201220 is a wasteful number, since it uses less digits than its factorization.

10300211201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147677 (or 147675 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10300211201220 its reverse (2210211200301), we get a palindrome (12510422401521).

The spelling of 10300211201220 in words is "ten trillion, three hundred billion, two hundred eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 607 1214 1821 1949 2428 3035 3642 3898 5847 6070 7284 7796 9105 9745 11694 12140 18210 19490 23388 29235 36420 38980 58470 116940 145109 290218 435327 580436 725545 870654 1183043 1451090 1741308 2176635 2366086 2902180 3549129 4353270 4732172 5915215 7098258 8706540 11830430 14196516 17745645 23660860 35491290 70982580 88081163 176162326 264243489 282817441 352324652 440405815 528486978 565634882 848452323 880811630 1056973956 1131269764 1321217445 1414087205 1696904646 1761623260 2642434890 2828174410 3393809292 4242261615 5284869780 5656348820 8484523230 16969046460 171670186687 343340373374 515010560061 686680746748 858350933435 1030021120122 1716701866870 2060042240244 2575052800305 3433403733740 5150105600610 10300211201220