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131022021120 = 293557729567
BaseRepresentation
bin111101000000110000…
…1010110001000000000
3110112012011001022000220
41322001201112020000
54121313114133440
6140105104343040
712315563542524
oct1720141261000
9415164038026
10131022021120
1150625573791
1221487014a80
13c480852063
1464ad109d84
15361c9448d0
hex1e81856200

131022021120 has 160 divisors (see below), whose sum is σ = 419601143808. Its totient is φ = 34877472768.

The previous prime is 131022021107. The next prime is 131022021127. The reversal of 131022021120 is 21120220131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131022021120.

It is not an unprimeable number, because it can be changed into a prime (131022021127) 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, 4416577 + ... + 4446143.

Almost surely, 2131022021120 is an apocalyptic number.

131022021120 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 131022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209800571904).

131022021120 is an abundant number, since it is smaller than the sum of its proper divisors (288579122688).

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

131022021120 is an equidigital number, since it uses as much as digits as its factorization.

131022021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30170 (or 30154 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131022021120 its reverse (21120220131), we get a palindrome (152142241251).

The spelling of 131022021120 in words is "one hundred thirty-one billion, twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 577 640 768 960 1154 1280 1536 1731 1920 2308 2560 2885 3462 3840 4616 5770 6924 7680 8655 9232 11540 13848 17310 18464 23080 27696 29567 34620 36928 46160 55392 59134 69240 73856 88701 92320 110784 118268 138480 147712 147835 177402 184640 221568 236536 276960 295424 295670 354804 369280 443136 443505 473072 553920 591340 709608 738560 886272 887010 946144 1107840 1182680 1419216 1477120 1774020 1892288 2215680 2365360 2838432 3548040 3784576 4431360 4730720 5676864 7096080 7569152 9461440 11353728 14192160 15138304 17060159 18922880 22707456 28384320 34120318 37845760 45414912 51180477 56768640 68240636 75691520 85300795 102360954 113537280 136481272 170601590 204721908 227074560 255902385 272962544 341203180 409443816 511804770 545925088 682406360 818887632 1023609540 1091850176 1364812720 1637775264 2047219080 2183700352 2729625440 3275550528 4094438160 4367400704 5459250880 6551101056 8188876320 8734801408 10918501760 13102202112 16377752640 21837003520 26204404224 32755505280 43674007040 65511010560 131022021120