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10990601820 = 22325112504619
BaseRepresentation
bin10100011110001011…
…10100011001011100
31001100221202102100200
422033011310121130
5140002043224240
65014330423500
7536233400622
oct121705643134
931327672320
1010990601820
11472a9a9900
122168891b90
131061cb69b3
14763945512
15444d34930
hex28f17465c

10990601820 has 108 divisors (see below), whose sum is σ = 36644495160. Its totient is φ = 2664383040.

The previous prime is 10990601803. The next prime is 10990601821. The reversal of 10990601820 is 2810609901.

10990601820 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10990601821) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 230530 + ... + 274089.

Almost surely, 210990601820 is an apocalyptic number.

10990601820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10990601820 is an abundant number, since it is smaller than the sum of its proper divisors (25653893340).

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

10990601820 is a wasteful number, since it uses less digits than its factorization.

10990601820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504656 (or 504640 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10990601820 in words is "ten billion, nine hundred ninety million, six hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 504619 1009238 1513857 2018476 2523095 3027714 4541571 5046190 5550809 6055428 7569285 9083142 10092380 11101618 15138570 16652427 18166284 22203236 22707855 27754045 30277140 33304854 45415710 49957281 55508090 61058899 66609708 83262135 90831420 99914562 111016180 122117798 166524270 183176697 199829124 244235596 249786405 305294495 333048540 366353394 499572810 549530091 610588990 732706788 915883485 999145620 1099060182 1221177980 1831766970 2198120364 2747650455 3663533940 5495300910 10990601820