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301311130220212 = 227273137153714797
BaseRepresentation
bin100010010000010100111011…
…0111000100011011010110100
31110111212001200201202210212111
41010200221312320203122310
5303443140143314021322
62544500231115100404
7120316003460453200
oct10440516670433264
91414761621683774
10301311130220212
1188009372931912
1229964147a41704
13cc186963bb678
1454597722abb00
1524c7bd9997177
hex1120a76e236b4

301311130220212 has 72 divisors (see below), whose sum is σ = 626324471353224. Its totient is φ = 126434723724288.

The previous prime is 301311130220147. The next prime is 301311130220213. The reversal of 301311130220212 is 212022031113103.

It can be written as a sum of positive squares in 4 ways, for example, as 92261288615076 + 209049841605136 = 9605274^2 + 14458556^2 .

It is a super-2 number, since 2×3013111302202122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301311130220213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74897203 + ... + 78817594.

It is an arithmetic number, because the mean of its divisors is an integer number (8698950991017).

Almost surely, 2301311130220212 is an apocalyptic number.

It is an amenable number.

301311130220212 is an abundant number, since it is smaller than the sum of its proper divisors (325013341133012).

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

301311130220212 is a wasteful number, since it uses less digits than its factorization.

301311130220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153715025 (or 153715016 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 301311130220212 its reverse (212022031113103), we get a palindrome (513333161333315).

The spelling of 301311130220212 in words is "three hundred one trillion, three hundred eleven billion, one hundred thirty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 73 98 137 146 196 274 292 511 548 959 1022 1918 2044 3577 3836 6713 7154 10001 13426 14308 20002 26852 40004 70007 140014 280028 490049 980098 1960196 153714797 307429594 614859188 1076003579 2152007158 4304014316 7532025053 11221180181 15064050106 21058927189 22442360362 30128100212 42117854378 44884720724 78548261267 84235708756 147412490323 157096522534 294824980646 314193045068 549837828869 589649961292 1031887432261 1099675657738 1537301684797 2063774864522 2199351315476 3074603369594 4127549729044 6149206739188 10761111793579 21522223587158 43044447174316 75327782555053 150655565110106 301311130220212