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10130012132220 = 22325293536354877
BaseRepresentation
bin1001001101101001001111…
…0001100101001101111100
31022212102022221222212201200
42103122103301211031330
52311432231101212340
633313355140135500
72063604100261461
oct223322361451574
938772287885650
1010130012132220
11325612883a282
121177320697590
135863436ba286
1427041c075668
15128788da1330
hex93693c6537c

10130012132220 has 144 divisors (see below), whose sum is σ = 31788757596960. Its totient is φ = 2608065750528.

The previous prime is 10130012132209. The next prime is 10130012132267. The reversal of 10130012132220 is 2223121003101.

10130012132220 is a `hidden beast` number, since 1 + 0 + 1 + 300 + 1 + 21 + 322 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10130012132193 and 10130012132202.

It is a congruent number.

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, 184567422 + ... + 184622298.

It is an arithmetic number, because the mean of its divisors is an integer number (220755261090).

Almost surely, 210130012132220 is an apocalyptic number.

10130012132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130012132220 is an abundant number, since it is smaller than the sum of its proper divisors (21658745464740).

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

10130012132220 is a wasteful number, since it uses less digits than its factorization.

10130012132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90284 (or 90279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10130012132220 its reverse (2223121003101), we get a palindrome (12353133135321).

The spelling of 10130012132220 in words is "ten trillion, one hundred thirty billion, twelve million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 35363 54877 70726 106089 109754 141452 164631 176815 212178 219508 274385 318267 329262 353630 424356 493893 530445 548770 636534 658524 707260 823155 987786 1025527 1060890 1097540 1273068 1591335 1591433 1646310 1975572 2051054 2121780 2469465 3076581 3182670 3182866 3292620 4102108 4774299 4938930 5127635 6153162 6365340 6365732 7957165 9229743 9548598 9877860 10255270 12306324 14322897 15382905 15914330 18459486 19097196 20510540 23871495 28645794 30765810 31828660 36918972 46148715 47742990 57291588 61531620 71614485 92297430 95485980 143228970 184594860 286457940 1940615351 3881230702 5821846053 7762461404 9703076755 11643692106 17465538159 19406153510 23287384212 29109230265 34931076318 38812307020 56277845179 58218460530 69862152636 87327690795 112555690358 116436921060 168833535537 174655381590 225111380716 281389225895 337667071074 349310763180 506500606611 562778451790 675334142148 844167677685 1013001213222 1125556903580 1688335355370 2026002426444 2532503033055 3376670710740 5065006066110 10130012132220