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10211022096 = 24311137141161
BaseRepresentation
bin10011000001001111…
…11101010100010000
3222100121211200000120
421200213331110100
5131403010201341
64405121350240
7511016153502
oct114047752420
928317750016
1010211022096
11436a946040
121b8b798380
13c69633612
146cc1b3d72
153eb693066
hex2609fd510

10211022096 has 80 divisors (see below), whose sum is σ = 28986769728. Its totient is φ = 3071641600.

The previous prime is 10211022071. The next prime is 10211022097. The reversal of 10211022096 is 69022011201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10211022097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756 + ... + 142916.

Almost surely, 210211022096 is an apocalyptic number.

10211022096 is a gapful number since it is divisible by the number (16) 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 10211022096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493384864).

10211022096 is an abundant number, since it is smaller than the sum of its proper divisors (18775747632).

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

10211022096 is a wasteful number, since it uses less digits than its factorization.

10211022096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141320 (or 141314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10211022096 its reverse (69022011201), we get a palindrome (79233033297).

The spelling of 10211022096 in words is "ten billion, two hundred eleven million, twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 137 176 264 274 411 528 548 822 1096 1507 1644 2192 3014 3288 4521 6028 6576 9042 12056 18084 24112 36168 72336 141161 282322 423483 564644 846966 1129288 1552771 1693932 2258576 3105542 3387864 4658313 6211084 6775728 9316626 12422168 18633252 19339057 24844336 37266504 38678114 58017171 74533008 77356228 116034342 154712456 212729627 232068684 309424912 425459254 464137368 638188881 850918508 928274736 1276377762 1701837016 2552755524 3403674032 5105511048 10211022096