Search a number
-
+
3110213030100 = 22352118287113731
BaseRepresentation
bin101101010000100111001…
…001001001000011010100
3102000100000002112022011220
4231100213021021003110
5401424204013430400
610340451231130340
7440463656361411
oct55204711110324
912010002468156
103110213030100
11a9a041199520
124229440739b0
131973a41c6c07
14aa76c4d1108
1555d853bb7a0
hex2d4272490d4

3110213030100 has 144 divisors (see below), whose sum is σ = 9818234259456. Its totient is φ = 753893424000.

The previous prime is 3110213030053. The next prime is 3110213030189. The reversal of 3110213030100 is 10303120113.

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 3110213030100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27290235 + ... + 27403965.

Almost surely, 23110213030100 is an apocalyptic number.

3110213030100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3110213030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909117129728).

3110213030100 is an abundant number, since it is smaller than the sum of its proper divisors (6708021229356).

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

3110213030100 is a wasteful number, since it uses less digits than its factorization.

3110213030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122046 (or 122039 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3110213030100 its reverse (10303120113), we get a palindrome (3120516150213).

The spelling of 3110213030100 in words is "three trillion, one hundred ten billion, two hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 8287 16574 24861 33148 41435 49722 82870 91157 99444 113731 124305 165740 182314 207175 227462 248610 273471 341193 364628 414350 454924 455785 497220 546942 568655 621525 682386 828700 911570 1093884 1137310 1243050 1251041 1364772 1367355 1705965 1823140 2274620 2278925 2486100 2502082 2734710 2843275 3411930 3753123 4557850 5004164 5469420 5686550 6255205 6823860 6836775 7506246 8529825 9115700 11373100 12510410 13673550 15012492 17059650 18765615 25020820 27347100 31276025 34119300 37531230 62552050 75062460 93828075 125104100 187656150 375312300 942488797 1884977594 2827466391 3769955188 4712443985 5654932782 9424887970 10367376767 11309865564 14137331955 18849775940 20734753534 23562219925 28274663910 31102130301 41469507068 47124439850 51836883835 56549327820 62204260602 70686659775 94248879700 103673767670 124408521204 141373319550 155510651505 207347535340 259184419175 282746639100 311021303010 518368838350 622042606020 777553257525 1036737676700 1555106515050 3110213030100