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20310133213616 = 24171931252150287
BaseRepresentation
bin1001001111000110100100…
…10001101000100110110000
32122220122000002211010020212
410213203102101220212300
510130230123100313431
6111110202453123252
74164234014603141
oct447432221504660
978818002733225
1020310133213616
11652052a795744
1223402a6629528
13b443115a221c
145030310bbac8
152534a6e6872b
hex1278d24689b0

20310133213616 has 160 divisors (see below), whose sum is σ = 45292221112320. Its totient is φ = 8758936166400.

The previous prime is 20310133213613. The next prime is 20310133213681. The reversal of 20310133213616 is 61631233101302.

It is a super-2 number, since 2×203101332136162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20310133213613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403859225 + ... + 403909511.

It is an arithmetic number, because the mean of its divisors is an integer number (283076381952).

Almost surely, 220310133213616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310133213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22646110556160).

20310133213616 is an abundant number, since it is smaller than the sum of its proper divisors (24982087898704).

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

20310133213616 is a wasteful number, since it uses less digits than its factorization.

20310133213616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52883 (or 52877 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 20310133213616 its reverse (61631233101302), we get a palindrome (81941366314918).

The spelling of 20310133213616 in words is "twenty trillion, three hundred ten billion, one hundred thirty-three million, two hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 19 31 34 38 62 68 76 124 136 152 248 272 304 323 496 527 589 646 1054 1178 1292 2108 2356 2521 2584 4216 4712 5042 5168 8432 9424 10013 10084 20026 20168 40052 40336 42857 47899 50287 78151 80104 85714 95798 100574 156302 160208 171428 191596 201148 312604 342856 383192 402296 625208 685712 766384 804592 814283 854879 955453 1250416 1328567 1484869 1558897 1628566 1709758 1910906 2657134 2969738 3117794 3257132 3419516 3821812 5314268 5939476 6235588 6514264 6839032 7643624 10628536 11878952 12471176 13028528 13678064 15287248 16242701 21257072 23757904 24942352 25242773 26501249 29619043 32485402 50485546 53002498 59238086 64970804 100971092 106004996 118476172 126773527 129941608 201942184 212009992 236952344 253547054 259883216 403884368 424019984 473904688 503523731 507094108 1007047462 1014188216 2014094924 2028376432 2155149959 2408697013 3929979337 4028189848 4310299918 4817394026 7859958674 8056379696 8620599836 9634788052 15719917348 17241199672 19269576104 31439834696 34482399344 38539152208 40947849221 62879669392 66809648729 74669607403 81895698442 133619297458 149339214806 163791396884 267238594916 298678429612 327582793768 534477189832 597356859224 655165587536 1068954379664 1194713718448 1269383325851 2538766651702 5077533303404 10155066606808 20310133213616