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123211131010 = 251122934910061
BaseRepresentation
bin111001010111111110…
…1001010100010000010
3102210000210110222010121
41302233331022202002
54004314022143020
6132334042050454
711621200222252
oct1625775124202
9383023428117
10123211131010
1148287520400
121ba671a9a2a
13b8075524a6
145d6b9cb962
153311d51baa
hex1caff4a882

123211131010 has 96 divisors (see below), whose sum is σ = 252928494000. Its totient is φ = 43130841600.

The previous prime is 123211131007. The next prime is 123211131067. The reversal of 123211131010 is 10131112321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73755153241 + 49455977769 = 271579^2 + 222387^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12241380 + ... + 12251440.

Almost surely, 2123211131010 is an apocalyptic number.

123211131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123211131010 is an abundant number, since it is smaller than the sum of its proper divisors (129717362990).

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

123211131010 is a wasteful number, since it uses less digits than its factorization.

123211131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 123211131010 its reverse (10131112321), we get a palindrome (133342243331).

The spelling of 123211131010 in words is "one hundred twenty-three billion, two hundred eleven million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 121 145 242 290 319 349 605 638 698 1210 1595 1745 3190 3490 3509 3839 7018 7678 10061 10121 17545 19195 20122 20242 35090 38390 42229 50305 50605 84458 100610 101210 110671 111331 211145 221342 222662 291769 422290 553355 556655 583538 1106710 1113310 1217381 1224641 1458845 2434762 2449282 2917690 3209459 3511289 6086905 6123205 6418918 7022578 12173810 12246410 16047295 17556445 32094590 35112890 35304049 38624179 70608098 77248358 101827381 176520245 193120895 203654762 353040490 386241790 424865969 509136905 849731938 1018273810 1120101191 2124329845 2240202382 4248659690 5600505955 11201011910 12321113101 24642226202 61605565505 123211131010