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31134324210 = 23511234787277
BaseRepresentation
bin11100111111110000…
…000001010111110010
32222100210201112122220
4130333300001113302
51002230341333320
622145232341510
72151352250343
oct347760012762
988323645586
1031134324210
1112227572660
12604a9a4896
132c223a3062
141714d600ca
15c234dee40
hex73fc015f2

31134324210 has 128 divisors (see below), whose sum is σ = 86870237184. Its totient is φ = 7065864960.

The previous prime is 31134324167. The next prime is 31134324227. The reversal of 31134324210 is 1242343113.

It is a happy number.

It is a super-2 number, since 2×311343242102 (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 313092 + ... + 400368.

It is an arithmetic number, because the mean of its divisors is an integer number (678673728).

Almost surely, 231134324210 is an apocalyptic number.

31134324210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31134324210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43435118592).

31134324210 is an abundant number, since it is smaller than the sum of its proper divisors (55735912974).

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

31134324210 is a wasteful number, since it uses less digits than its factorization.

31134324210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87368.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31134324210 its reverse (1242343113), we get a palindrome (32376667323).

The spelling of 31134324210 in words is "thirty-one billion, one hundred thirty-four million, three hundred twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 47 55 66 69 94 110 115 138 141 165 230 235 253 282 330 345 470 506 517 690 705 759 1034 1081 1265 1410 1518 1551 2162 2530 2585 3102 3243 3795 5170 5405 6486 7590 7755 10810 11891 15510 16215 23782 32430 35673 59455 71346 87277 118910 174554 178365 261831 356730 436385 523662 872770 960047 1309155 1920094 2007371 2618310 2880141 4014742 4102019 4800235 5760282 6022113 8204038 9600470 10036855 12044226 12306057 14400705 20073710 20510095 22081081 24612114 28801410 30110565 41020190 44162162 45122209 60221130 61530285 66243243 90244418 94346437 110405405 123060570 132486486 135366627 188692874 220810810 225611045 270733254 283039311 331216215 451222090 471732185 566078622 662432430 676833135 943464370 1037810807 1353666270 1415196555 2075621614 2830393110 3113432421 5189054035 6226864842 10378108070 15567162105 31134324210