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20310213120 = 29354795521
BaseRepresentation
bin10010111010100101…
…010100001000000000
31221102110020201122120
4102322211110020000
5313043403304440
613155210204240
71316206651221
oct227245241000
957373221576
1020310213120
1186826497aa
123b29a23680
131bb8a402b2
14da9597248
157dd0e5dd0
hex4ba954200

20310213120 has 160 divisors (see below), whose sum is σ = 65076549120. Its totient is φ = 5403770880.

The previous prime is 20310213107. The next prime is 20310213127. The reversal of 20310213120 is 2131201302.

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 20310213120.

It is not an unprimeable number, because it can be changed into a prime (20310213127) 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, 3675960 + ... + 3681480.

It is an arithmetic number, because the mean of its divisors is an integer number (406728432).

Almost surely, 220310213120 is an apocalyptic number.

20310213120 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 20310213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32538274560).

20310213120 is an abundant number, since it is smaller than the sum of its proper divisors (44766336000).

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

20310213120 is an equidigital number, since it uses as much as digits as its factorization.

20310213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20310213120 its reverse (2131201302), we get a palindrome (22441414422).

The spelling of 20310213120 in words is "twenty billion, three hundred ten million, two hundred thirteen 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 96 120 128 160 192 240 256 320 384 479 480 512 640 768 958 960 1280 1437 1536 1916 1920 2395 2560 2874 3832 3840 4790 5521 5748 7185 7664 7680 9580 11042 11496 14370 15328 16563 19160 22084 22992 27605 28740 30656 33126 38320 44168 45984 55210 57480 61312 66252 76640 82815 88336 91968 110420 114960 122624 132504 153280 165630 176672 183936 220840 229920 245248 265008 306560 331260 353344 367872 441680 459840 530016 613120 662520 706688 735744 883360 919680 1060032 1226240 1325040 1413376 1766720 1839360 2120064 2644559 2650080 2826752 3533440 3678720 4240128 5289118 5300160 7066880 7933677 8480256 10578236 10600320 13222795 14133760 15867354 21156472 21200640 26445590 31734708 39668385 42312944 42401280 52891180 63469416 79336770 84625888 105782360 126938832 158673540 169251776 211564720 253877664 317347080 338503552 423129440 507755328 634694160 677007104 846258880 1015510656 1269388320 1354014208 1692517760 2031021312 2538776640 3385035520 4062042624 5077553280 6770071040 10155106560 20310213120