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10114214320 = 245745739521
BaseRepresentation
bin10010110101101101…
…01010100110110000
3222002212200022201101
421122312222212300
5131203214324240
64351342414144
7505432255210
oct113266524660
928085608641
1010114214320
114320234a11
121b63291354
13c52569b02
146bd3b4240
153e2e1e39a
hex25adaa9b0

10114214320 has 80 divisors (see below), whose sum is σ = 26934401088. Its totient is φ = 3460055040.

The previous prime is 10114214309. The next prime is 10114214371. The reversal of 10114214320 is 2341241101.

10114214320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236160 + ... + 275680.

Almost surely, 210114214320 is an apocalyptic number.

10114214320 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 10114214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467200544).

10114214320 is an abundant number, since it is smaller than the sum of its proper divisors (16820186768).

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

10114214320 is a wasteful number, since it uses less digits than its factorization.

10114214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39998 (or 39992 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10114214320 its reverse (2341241101), we get a palindrome (12455455421).

The spelling of 10114214320 in words is "ten billion, one hundred fourteen million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 457 560 914 1828 2285 3199 3656 4570 6398 7312 9140 12796 15995 18280 25592 31990 36560 39521 51184 63980 79042 127960 158084 197605 255920 276647 316168 395210 553294 632336 790420 1106588 1383235 1580840 2213176 2766470 3161680 4426352 5532940 11065880 18061097 22131760 36122194 72244388 90305485 126427679 144488776 180610970 252855358 288977552 361221940 505710716 632138395 722443880 1011421432 1264276790 1444887760 2022842864 2528553580 5057107160 10114214320