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21311132220 = 223257107158071
BaseRepresentation
bin10011110110001111…
…100001001000111100
32001000012122200112100
4103312033201020330
5322121122212340
613442403305100
71353052430550
oct236617411074
961005580470
1021311132220
119046640074
12416907b190
13201820c911
1410624a3860
1584ae09830
hex4f63e123c

21311132220 has 144 divisors (see below), whose sum is σ = 74569517568. Its totient is φ = 4825560960.

The previous prime is 21311132201. The next prime is 21311132231. The reversal of 21311132220 is 2223111312.

21311132220 is a `hidden beast` number, since 2 + 1 + 311 + 132 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21311132193 and 21311132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55785 + ... + 213855.

It is an arithmetic number, because the mean of its divisors is an integer number (517843872).

Almost surely, 221311132220 is an apocalyptic number.

21311132220 is a gapful number since it is divisible by the number (20) 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 21311132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37284758784).

21311132220 is an abundant number, since it is smaller than the sum of its proper divisors (53258385348).

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

21311132220 is a wasteful number, since it uses less digits than its factorization.

21311132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158200 (or 158195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21311132220 its reverse (2223111312), we get a palindrome (23534243532).

The spelling of 21311132220 in words is "twenty-one billion, three hundred eleven million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 420 428 535 630 642 749 963 1070 1260 1284 1498 1605 1926 2140 2247 2996 3210 3745 3852 4494 4815 6420 6741 7490 8988 9630 11235 13482 14980 19260 22470 26964 33705 44940 67410 134820 158071 316142 474213 632284 790355 948426 1106497 1422639 1580710 1896852 2212994 2371065 2845278 3161420 3319491 4425988 4742130 5532485 5690556 6638982 7113195 9484260 9958473 11064970 13277964 14226390 16597455 16913597 19916946 22129940 28452780 33194910 33827194 39833892 49792365 50740791 66389820 67654388 84567985 99584730 101481582 118395179 152222373 169135970 199169460 202963164 236790358 253703955 304444746 338271940 355185537 473580716 507407910 591975895 608889492 710371074 761111865 1014815820 1065556611 1183951790 1420742148 1522223730 1775927685 2131113222 2367903580 3044447460 3551855370 4262226444 5327783055 7103710740 10655566110 21311132220