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10134202411220 = 2252379293951781
BaseRepresentation
bin1001001101111000110110…
…0010001110100011010100
31022212211010222202002220012
42103132031202032203110
52312014321304124340
633315331024255352
72064112661124356
oct223361542164324
938784128662805
1010134202411220
113257989076978
1211780aba71558
135868608713c4
142706d879b0d6
15128931bb0565
hex9378d88e8d4

10134202411220 has 96 divisors (see below), whose sum is σ = 22564999941120. Its totient is φ = 3815282465280.

The previous prime is 10134202411129. The next prime is 10134202411261. The reversal of 10134202411220 is 2211420243101.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10171730 + ... + 11123510.

It is an arithmetic number, because the mean of its divisors is an integer number (235052082720).

Almost surely, 210134202411220 is an apocalyptic number.

10134202411220 is a gapful number since it is divisible by the number (10) 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 10134202411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282499970560).

10134202411220 is an abundant number, since it is smaller than the sum of its proper divisors (12430797529900).

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

10134202411220 is a wasteful number, since it uses less digits than its factorization.

10134202411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952185 (or 952183 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10134202411220 its reverse (2211420243101), we get a palindrome (12345622654321).

The spelling of 10134202411220 in words is "ten trillion, one hundred thirty-four billion, two hundred two million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 293 316 395 460 586 790 1172 1465 1580 1817 2930 3634 5860 6739 7268 9085 13478 18170 23147 26956 33695 36340 46294 67390 92588 115735 134780 231470 462940 532381 951781 1064762 1903562 2129524 2661905 3807124 4758905 5323810 9517810 10647620 19035620 21890963 43781926 75190699 87563852 109454815 150381398 218909630 278871833 300762796 375953495 437819260 557743666 751906990 1115487332 1394359165 1503813980 1729386077 2788718330 3458772154 5577436660 6414052159 6917544308 8646930385 12828104318 17293860770 22030874807 25656208636 32070260795 34587721540 44061749614 64140521590 88123499228 110154374035 128281043180 220308748070 440617496140 506710120561 1013420241122 2026840482244 2533550602805 5067101205610 10134202411220