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20110322320 = 24511238311971
BaseRepresentation
bin10010101110101010…
…110010101010010000
31220220112010020000121
4102232222302222100
5312141220303240
613123310000024
71311231630214
oct225652625220
956815106017
1020110322320
11858a8308a0
123a92aa6014
131b864c390a
14d8ac02944
157ca7ae04a
hex4aeab2a90

20110322320 has 160 divisors (see below), whose sum is σ = 53870552064. Its totient is φ = 6910041600.

The previous prime is 20110322317. The next prime is 20110322359. The reversal of 20110322320 is 2322301102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20110322294 and 20110322303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673935 + ... + 1685905.

Almost surely, 220110322320 is an apocalyptic number.

20110322320 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 20110322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935276032).

20110322320 is an abundant number, since it is smaller than the sum of its proper divisors (33760229744).

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

20110322320 is a wasteful number, since it uses less digits than its factorization.

20110322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20110322320 its reverse (2322301102), we get a palindrome (22432623422).

The spelling of 20110322320 in words is "twenty billion, one hundred ten million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 83 88 92 110 115 166 176 184 220 230 253 332 368 415 440 460 506 664 830 880 913 920 1012 1265 1328 1660 1826 1840 1909 2024 2530 3320 3652 3818 4048 4565 5060 6640 7304 7636 9130 9545 10120 11971 14608 15272 18260 19090 20240 20999 23942 30544 36520 38180 41998 47884 59855 73040 76360 83996 95768 104995 119710 131681 152720 167992 191536 209990 239420 263362 275333 335984 419980 478840 526724 550666 658405 839960 957680 993593 1053448 1101332 1316810 1376665 1679920 1987186 2106896 2202664 2633620 2753330 3028663 3974372 4405328 4967965 5267240 5506660 6057326 7948744 9935930 10534480 10929523 11013320 12114652 15143315 15897488 19871860 21859046 22026640 22852639 24229304 30286630 39743720 43718092 45705278 48458608 54647615 60573260 79487440 87436184 91410556 109295230 114263195 121146520 174872368 182821112 218590460 228526390 242293040 251379029 365642224 437180920 457052780 502758058 874361840 914105560 1005516116 1256895145 1828211120 2011032232 2513790290 4022064464 5027580580 10055161160 20110322320