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31223101213100 = 225223191463153509
BaseRepresentation
bin1110001100101101100011…
…10110110100100110101100
311002112220021121102002022202
413012112301312310212230
513043024402402304400
6150223410015001032
76401536361225606
oct706266166644654
9132486247362282
1031223101213100
119a487087174a5
1236032b5509178
131456430a62b04
1479d2c59cc176
153922b7b184d5
hex1c65b1db49ac

31223101213100 has 144 divisors (see below), whose sum is σ = 71224081367040. Its totient is φ = 11857940371200.

The previous prime is 31223101213093. The next prime is 31223101213111. The reversal of 31223101213100 is 131210132213.

It is a happy number.

It is a super-2 number, since 2×312231012131002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203319146 + ... + 203472654.

It is an arithmetic number, because the mean of its divisors is an integer number (494611676160).

Almost surely, 231223101213100 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 31223101213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35612040683520).

31223101213100 is an abundant number, since it is smaller than the sum of its proper divisors (40000980153940).

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

31223101213100 is a wasteful number, since it uses less digits than its factorization.

31223101213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154200 (or 154193 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31223101213100 its reverse (131210132213), we get a palindrome (31354311345313).

The spelling of 31223101213100 in words is "thirty-one trillion, two hundred twenty-three billion, one hundred one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 191 230 382 460 463 575 764 926 955 1150 1852 1910 2300 2315 3820 4393 4630 4775 8786 9260 9550 10649 11575 17572 19100 21298 21965 23150 42596 43930 46300 53245 87860 88433 106490 109825 153509 176866 212980 219650 266225 307018 353732 439300 442165 532450 614036 767545 884330 1064900 1535090 1768660 2033959 2210825 3070180 3530707 3837725 4067918 4421650 7061414 7675450 8135836 8843300 10169795 14122828 15350900 17653535 20339590 29320219 35307070 40679180 50848975 58640438 70614140 71074667 88267675 101697950 117280876 142149334 146601095 176535350 203395900 284298668 293202190 353070700 355373335 586404380 674365037 710746670 733005475 1348730074 1421493340 1466010950 1634717341 1776866675 2697460148 2932021900 3269434682 3371825185 3553733350 6538869364 6743650370 7107466700 8173586705 13487300740 13575261397 16347173410 16859125925 27150522794 32694346820 33718251850 40867933525 54301045588 67436503700 67876306985 81735867050 135752613970 163471734100 271505227940 312231012131 339381534925 624462024262 678763069850 1248924048524 1357526139700 1561155060655 3122310121310 6244620242620 7805775303275 15611550606550 31223101213100