Search a number
-
+
10101210100120 = 2353893677176551
BaseRepresentation
bin1001001011111101111100…
…0010100011000110011000
31022202122222200220001101001
42102333133002203012120
52310444234241200440
633252233140434344
72061534255115426
oct222773702430630
938678880801331
1010101210100120
113244998844267
1211718229a89b4
13583703587729
1426cc88b8c116
15127b50510b9a
hex92fdf0a3198

10101210100120 has 64 divisors (see below), whose sum is σ = 22792474785600. Its totient is φ = 4028978342400.

The previous prime is 10101210100063. The next prime is 10101210100153. The reversal of 10101210100120 is 2100101210101.

10101210100120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10101210100097 and 10101210100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57125845 + ... + 57302395.

It is an arithmetic number, because the mean of its divisors is an integer number (356132418525).

Almost surely, 210101210100120 is an apocalyptic number.

10101210100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101210100120 is an abundant number, since it is smaller than the sum of its proper divisors (12691264685480).

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

10101210100120 is a wasteful number, since it uses less digits than its factorization.

10101210100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180628 (or 180624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101210100120 its reverse (2100101210101), we get a palindrome (12201311310221).

The spelling of 10101210100120 in words is "ten trillion, one hundred one billion, two hundred ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 389 778 1556 1945 3112 3677 3890 7354 7780 14708 15560 18385 29416 36770 73540 147080 176551 353102 706204 882755 1412408 1430353 1765510 2860706 3531020 5721412 7062040 7151765 11442824 14303530 28607060 57214120 68678339 137356678 274713356 343391695 549426712 649178027 686783390 1298356054 1373566780 2596712108 2747133560 3245890135 5193424216 6491780270 12983560540 25967121080 252530252503 505060505006 1010121010012 1262651262515 2020242020024 2525302525030 5050605050060 10101210100120