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1012110221100 = 2235211378289191
BaseRepresentation
bin11101011101001100111…
…10000101111100101100
310120202102200221101202110
432232212132011330230
5113040300204033400
62052542414324020
7133060014635046
oct16564636057454
93522380841673
101012110221100
1136026291a290
121441a17b9610
1374598212244
1436db4956a96
151b4d9a09e50
hexeba6785f2c

1012110221100 has 144 divisors (see below), whose sum is σ = 3280928507136. Its totient is φ = 238728672000.

The previous prime is 1012110221071. The next prime is 1012110221113. The reversal of 1012110221100 is 11220112101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4022496 + ... + 4266695.

It is an arithmetic number, because the mean of its divisors is an integer number (22784225744).

Almost surely, 21012110221100 is an apocalyptic number.

1012110221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012110221100 is an abundant number, since it is smaller than the sum of its proper divisors (2268818286036).

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

1012110221100 is a wasteful number, since it uses less digits than its factorization.

1012110221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289256 (or 8289249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012110221100 its reverse (11220112101), we get a palindrome (1023330333201).

The spelling of 1012110221100 in words is "one trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 8289191 16578382 24867573 33156764 41445955 49735146 82891910 91181101 99470292 124337865 165783820 182362202 207229775 248675730 273543303 306700067 364724404 414459550 455905505 497351460 547086606 613400134 621689325 828919100 911811010 920100201 1094173212 1226800268 1243378650 1367716515 1533500335 1823622020 1840200402 2279527525 2486757300 2735433030 3067000670 3373700737 3680400804 4559055050 4600501005 5470866060 6134001340 6747401474 6838582575 7667501675 9118110100 9201002010 10121102211 13494802948 13677165150 15335003350 16868503685 18402004020 20242204422 23002505025 27354330300 30670006700 33737007370 40484408844 46005010050 50605511055 67474014740 84342518425 92010020100 101211022110 168685036850 202422044220 253027555275 337370073700 506055110550 1012110221100