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105203512020 = 223523435717497
BaseRepresentation
bin110000111111010011…
…1100011001011010100
3101001112210222010211010
41201332213203023110
53210424044341040
6120155124212220
710413020045325
oct1417647431324
9331483863733
10105203512020
1140686704762
121848053a070
139bc7885039
14514017a44c
152b0ae90e80
hex187e9e32d4

105203512020 has 96 divisors (see below), whose sum is σ = 307465337088. Its totient is φ = 26826826752.

The previous prime is 105203511983. The next prime is 105203512067. The reversal of 105203512020 is 20215302501.

It is a super-2 number, since 2×1052035120202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 6003912 + ... + 6021408.

It is an arithmetic number, because the mean of its divisors is an integer number (3202763928).

Almost surely, 2105203512020 is an apocalyptic number.

105203512020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105203512020 is an abundant number, since it is smaller than the sum of its proper divisors (202261825068).

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

105203512020 is a wasteful number, since it uses less digits than its factorization.

105203512020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889 (or 21887 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 105203512020 its reverse (20215302501), we get a palindrome (125418814521).

The spelling of 105203512020 in words is "one hundred five billion, two hundred three million, five hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 4357 8714 13071 17428 17497 21785 26142 34994 43570 52284 52491 65355 69988 87140 87485 100211 104982 130710 174970 200422 209964 261420 262455 300633 349940 400844 402431 501055 524910 601266 804862 1002110 1049820 1202532 1207293 1503165 1609724 2004220 2012155 2414586 3006330 4024310 4829172 6012660 6036465 8048620 12072930 24145860 76234429 152468858 228703287 304937716 381172145 457406574 762344290 914813148 1143516435 1524688580 1753391867 2287032870 3506783734 4574065740 5260175601 7013567468 8766959335 10520351202 17533918670 21040702404 26300878005 35067837340 52601756010 105203512020