Search a number
-
+
311302211100 = 2235219471162009
BaseRepresentation
bin1001000011110110000…
…11101100011000011100
31002202112012000211200020
410201323003230120130
520100021331223400
6355002114432140
731330234064166
oct4417303543034
91082465024606
10311302211100
11110027a89831
12503ba592650
132348154959a
14110d21dd936
15816ea472a0
hex487b0ec61c

311302211100 has 144 divisors (see below), whose sum is σ = 968279692800. Its totient is φ = 76971409920.

The previous prime is 311302211071. The next prime is 311302211131. The reversal of 311302211100 is 1112203113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311302211100.

It is a congruent number.

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, 313105 + ... + 848904.

Almost surely, 2311302211100 is an apocalyptic number.

311302211100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311302211100 is an abundant number, since it is smaller than the sum of its proper divisors (656977481700).

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

311302211100 is a wasteful number, since it uses less digits than its factorization.

311302211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162092 (or 1162085 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 311302211100 its reverse (1112203113), we get a palindrome (312414414213).

The spelling of 311302211100 in words is "three hundred eleven billion, three hundred two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 47 50 57 60 75 76 94 95 100 114 141 150 188 190 228 235 282 285 300 380 470 475 564 570 705 893 940 950 1140 1175 1410 1425 1786 1900 2350 2679 2820 2850 3525 3572 4465 4700 5358 5700 7050 8930 10716 13395 14100 17860 22325 26790 44650 53580 66975 89300 133950 267900 1162009 2324018 3486027 4648036 5810045 6972054 11620090 13944108 17430135 22078171 23240180 29050225 34860270 44156342 54614423 58100450 66234513 69720540 87150675 88312684 109228846 110390855 116200900 132469026 163843269 174301350 218457692 220781710 264938052 273072115 327686538 331172565 348602700 441563420 546144230 551954275 655373076 662345130 819216345 1037674037 1092288460 1103908550 1324690260 1365360575 1638432690 1655862825 2075348074 2207817100 2730721150 3113022111 3276865380 3311725650 4096081725 4150696148 5188370185 5461442300 6226044222 6623451300 8192163450 10376740370 12452088444 15565110555 16384326900 20753480740 25941850925 31130221110 51883701850 62260442220 77825552775 103767403700 155651105550 311302211100