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31314233300 = 2252773797757
BaseRepresentation
bin11101001010011110…
…010100011111010100
32222211100020212112112
4131022132110133110
51003112420431200
622215140410152
72155665406550
oct351236243724
988740225475
1031314233300
111230a082a59
12609b0a6958
132c5074473c
141730bd2860
15c341cb535
hex74a7947d4

31314233300 has 144 divisors (see below), whose sum is σ = 79729896960. Its totient is φ = 10453847040.

The previous prime is 31314233299. The next prime is 31314233309. The reversal of 31314233300 is 333241313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314233309) by changing a digit.

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, 4033022 + ... + 4040778.

It is an arithmetic number, because the mean of its divisors is an integer number (553679840).

Almost surely, 231314233300 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 31314233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39864948480).

31314233300 is an abundant number, since it is smaller than the sum of its proper divisors (48415663660).

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

31314233300 is a wasteful number, since it uses less digits than its factorization.

31314233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 31314233300 its reverse (333241313), we get a palindrome (31647474613).

The spelling of 31314233300 in words is "thirty-one billion, three hundred fourteen million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 79 100 140 146 158 175 292 316 350 365 395 511 553 700 730 790 1022 1106 1460 1580 1825 1975 2044 2212 2555 2765 3650 3950 5110 5530 5767 7300 7757 7900 10220 11060 11534 12775 13825 15514 23068 25550 27650 28835 31028 38785 40369 51100 54299 55300 57670 77570 80738 108598 115340 144175 155140 161476 193925 201845 217196 271495 288350 387850 403690 542990 566261 576700 612803 775700 807380 1009225 1085980 1132522 1225606 1357475 2018450 2265044 2451212 2714950 2831305 3064015 3963827 4036900 4289621 5429900 5662610 6128030 7927654 8579242 11325220 12256060 14156525 15320075 15855308 17158484 19819135 21448105 28313050 30640150 39638270 42896210 44734619 56626100 61280300 79276540 85792420 89469238 99095675 107240525 178938476 198191350 214481050 223673095 313142333 396382700 428962100 447346190 626284666 894692380 1118365475 1252569332 1565711665 2236730950 3131423330 4473461900 6262846660 7828558325 15657116650 31314233300