Search a number
-
+
332201331101100 = 2235218731790333023
BaseRepresentation
bin100101110001000101010011…
…0010101011000110110101100
31121120020010200221110211020110
41023202022212111120312230
5322020241311230213400
63134311103520420020
7126654516445614516
oct11342124625306654
91546203627424213
10332201331101100
119693887aa3250a
1231312a15777610
13113495b3101786
145c068b744cbb6
1528614bb86ee50
hex12e22a6558dac

332201331101100 has 144 divisors (see below), whose sum is σ = 961765195087872. Its totient is φ = 88532098237440.

The previous prime is 332201331101063. The next prime is 332201331101131. The reversal of 332201331101100 is 1101133102233.

It is a happy number.

It is a super-2 number, since 2×3322013311011002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10059679189 + ... + 10059712211.

It is an arithmetic number, because the mean of its divisors is an integer number (6678924965888).

Almost surely, 2332201331101100 is an apocalyptic number.

332201331101100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332201331101100 is an abundant number, since it is smaller than the sum of its proper divisors (629563863986772).

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

332201331101100 is a wasteful number, since it uses less digits than its factorization.

332201331101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52816 (or 52809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 332201331101100 its reverse (1101133102233), we get a palindrome (333302464203333).

The spelling of 332201331101100 in words is "three hundred thirty-two trillion, two hundred one billion, three hundred thirty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1873 3746 5619 7492 9365 11238 17903 18730 22476 28095 33023 35806 37460 46825 53709 56190 66046 71612 89515 93650 99069 107418 112380 132092 140475 165115 179030 187300 198138 214836 268545 280950 330230 358060 396276 447575 495345 537090 561900 660460 825575 895150 990690 1074180 1342725 1651150 1790300 1981380 2476725 2685450 3302300 4953450 5370900 9906900 33532319 61852079 67064638 100596957 123704158 134129276 167661595 185556237 201193914 247408316 309260395 335323190 371112474 402387828 502984785 591210769 618520790 670646380 742224948 838307975 927781185 1005969570 1182421538 1237041580 1546301975 1676615950 1773632307 1855562370 2011939140 2364843076 2514923925 2956053845 3092603950 3353231900 3547264614 3711124740 4638905925 5029847850 5912107690 6185207900 7094529228 8868161535 9277811850 10059695700 11824215380 14780269225 17736323070 18555623700 29560538450 35472646140 44340807675 59121076900 88681615350 177363230700 1107337770337 2214675540674 3322013311011 4429351081348 5536688851685 6644026622022 11073377703370 13288053244044 16610066555055 22146755406740 27683444258425 33220133110110 55366888516850 66440266220220 83050332775275 110733777033700 166100665550550 332201331101100