Search a number
-
+
10112010220020 = 22351597339131121
BaseRepresentation
bin1001001100100110001011…
…0001101111000111110100
31022210200212101012222122210
42103021202301233013310
52311133344104020040
633301220544453420
72062366016453442
oct223114261570764
938720771188583
1010112010220020
113249530171195
12117393791a270
13584734c6a517
1426d5d12abb92
1512808376b480
hex93262c6f1f4

10112010220020 has 96 divisors (see below), whose sum is σ = 28340623374336. Its totient is φ = 2693966284800.

The previous prime is 10112010220007. The next prime is 10112010220061. The reversal of 10112010220020 is 2002201021101.

10112010220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10112010219978 and 10112010220005.

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, 324910060 + ... + 324941180.

It is an arithmetic number, because the mean of its divisors is an integer number (295214826816).

Almost surely, 210112010220020 is an apocalyptic number.

10112010220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112010220020 is an abundant number, since it is smaller than the sum of its proper divisors (18228613154316).

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

10112010220020 is a wasteful number, since it uses less digits than its factorization.

10112010220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36121 (or 36119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112010220020 its reverse (2002201021101), we get a palindrome (12114211241121).

The spelling of 10112010220020 in words is "ten trillion, one hundred twelve billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1597 3194 3391 4791 6388 6782 7985 9582 10173 13564 15970 16955 19164 20346 23955 31121 31940 33910 40692 47910 50865 62242 67820 93363 95820 101730 124484 155605 186726 203460 311210 373452 466815 622420 933630 1867260 5415427 10830854 16246281 21661708 27077135 32492562 49700237 54154270 64985124 81231405 99400474 105531311 108308540 149100711 162462810 198800948 211062622 248501185 298201422 316593933 324925620 422125244 497002370 527656555 596402844 633187866 745503555 994004740 1055313110 1266375732 1491007110 1582969665 2110626220 2982014220 3165939330 6331878660 168533503667 337067007334 505600511001 674134014668 842667518335 1011201022002 1685335036670 2022402044004 2528002555005 3370670073340 5056005110010 10112010220020