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10101022230020 = 22529229214135521
BaseRepresentation
bin1001001011111101001111…
…0101111000011000000100
31022202122111121101021001012
42102333103311320120010
52310443343142330040
633252202350021352
72061526514211251
oct222772365703004
938678447337035
1010101022230020
113244901796717
12117178baa7858
135836a36895a7
1426cc6bc46428
15127b3dca0865
hex92fd3d78604

10101022230020 has 96 divisors (see below), whose sum is σ = 22050338335200. Its totient is φ = 3882125721600.

The previous prime is 10101022229999. The next prime is 10101022230077. The reversal of 10101022230020 is 2003222010101.

It is a happy number.

10101022230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 846138740164 + 9254883489856 = 919858^2 + 3042184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10101022229977 and 10101022230004.

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, 284349860 + ... + 284385380.

It is an arithmetic number, because the mean of its divisors is an integer number (229691024325).

Almost surely, 210101022230020 is an apocalyptic number.

10101022230020 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 10101022230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025169167600).

10101022230020 is an abundant number, since it is smaller than the sum of its proper divisors (11949316105180).

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

10101022230020 is a wasteful number, since it uses less digits than its factorization.

10101022230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37929 (or 37927 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10101022230020 its reverse (2003222010101), we get a palindrome (12104244240121).

The spelling of 10101022230020 in words is "ten trillion, one hundred one billion, twenty-two million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 229 290 458 580 916 1145 2141 2290 4282 4580 6641 8564 10705 13282 21410 26564 33205 35521 42820 62089 66410 71042 124178 132820 142084 177605 248356 310445 355210 490289 620890 710420 980578 1030109 1241780 1961156 2060218 2451445 4120436 4902890 5150545 8134309 9805780 10301090 14218381 16268618 20602180 28436762 32537236 40671545 56873524 71091905 76050461 81343090 142183810 152100922 162686180 235894961 284367620 304201844 380252305 471789922 760504610 943579844 1179474805 1521009220 2205463369 2358949610 4410926738 4717899220 8821853476 11027316845 17415555569 22054633690 34831111138 44109267380 69662222276 87077777845 174155555690 348311111380 505051111501 1010102223002 2020204446004 2525255557505 5050511115010 10101022230020