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1010100221196 = 2231147946117209
BaseRepresentation
bin11101011001011101010…
…10100011010100001100
310120120020121202211020120
432230232222203110030
5113022141124034241
62052011133144540
7132656140134033
oct16545652432414
93516217684216
101010100221196
1135a421272640
1214392062b150
13743379763a1
1436c63a1771a
151b41d31e666
hexeb2eaa350c

1010100221196 has 96 divisors (see below), whose sum is σ = 2626299970560. Its totient is φ = 299529331200.

The previous prime is 1010100221177. The next prime is 1010100221197. The reversal of 1010100221196 is 6911220010101.

It is a happy number.

1010100221196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1010100221197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58687440 + ... + 58704648.

It is an arithmetic number, because the mean of its divisors is an integer number (27357291360).

Almost surely, 21010100221196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010100221196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313149985280).

1010100221196 is an abundant number, since it is smaller than the sum of its proper divisors (1616199749364).

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

1010100221196 is a wasteful number, since it uses less digits than its factorization.

1010100221196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26735 (or 26733 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 1010100221196 its reverse (6911220010101), we get a palindrome (7921320231297).

The spelling of 1010100221196 in words is "one trillion, ten billion, one hundred million, two hundred twenty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 9461 17209 18922 28383 34418 37844 51627 56766 68836 103254 104071 113532 189299 206508 208142 312213 378598 416284 444667 567897 624426 757196 808823 889334 1135794 1248852 1334001 1617646 1778668 2271588 2426469 2668002 3235292 4852938 4891337 5336004 8897053 9705876 9782674 14674011 17794106 19565348 26691159 29348022 35588212 53382318 58696044 106764636 162814349 325628698 488443047 651257396 976886094 1790957839 1953772188 3581915678 5372873517 7163831356 7652274403 10745747034 15304548806 21491494068 22956823209 30609097612 45913646418 84175018433 91827292836 168350036866 252525055299 336700073732 505050110598 1010100221196