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1012131222130 = 257232395874481
BaseRepresentation
bin11101011101001111011…
…10001101001001110010
310120202111011110100202101
432232213232031021302
5113040321043102010
62052544444411014
7133060361303410
oct16564756151162
93522434410671
101012131222130
11360273763706
121441a8846a6a
137459c6861a2
1436db76622b0
151b4db7a773a
hexeba7b8d272

1012131222130 has 128 divisors (see below), whose sum is σ = 2185919447040. Its totient is φ = 329903185920.

The previous prime is 1012131222119. The next prime is 1012131222139. The reversal of 1012131222130 is 312221312101.

It is a super-2 number, since 2×10121312221302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012131222098 and 1012131222107.

It is not an unprimeable number, because it can be changed into a prime (1012131222139) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 225869490 + ... + 225873970.

It is an arithmetic number, because the mean of its divisors is an integer number (17077495680).

Almost surely, 21012131222130 is an apocalyptic number.

1012131222130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012131222130 is an abundant number, since it is smaller than the sum of its proper divisors (1173788224910).

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

1012131222130 is a wasteful number, since it uses less digits than its factorization.

1012131222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1012131222130 its reverse (312221312101), we get a palindrome (1324352534231).

The spelling of 1012131222130 in words is "one trillion, twelve billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 239 322 478 587 805 1174 1195 1610 1673 2390 2935 3346 4109 4481 5497 5870 8218 8365 8962 10994 13501 16730 20545 22405 27002 27485 31367 38479 41090 44810 54970 62734 67505 76958 94507 103063 135010 140293 156835 189014 192395 206126 280586 313670 384790 472535 515315 701465 721441 945070 982051 1030630 1070959 1402930 1442882 1964102 2141918 2630347 3226739 3607205 4910255 5260694 5354795 6453478 7214410 7496713 9820510 10709590 13151735 14993426 16133695 18412429 22587173 24632057 26303470 32267390 36824858 37483565 45174346 49264114 60497981 74967130 92062145 112935865 120995962 123160285 172424399 184124290 225871730 246320570 302489905 344848798 423485867 604979810 628652933 846971734 862121995 1257305866 1724243990 2117429335 3143264665 4234858670 4400570531 6286529330 8801141062 14459017459 22002852655 28918034918 44005705310 72295087295 101213122213 144590174590 202426244426 506065611065 1012131222130