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3214220111300 = 22521122323356237
BaseRepresentation
bin101110110001011110011…
…100101010110111000100
3102101021110112012110110102
4232301132130222313010
5410130210322030200
610500331535543232
7451135241105402
oct56613634526704
912337415173412
103214220111300
11102a163504a80
1243ab2b98ab18
131a413ac37203
14b17d77ca472
15589212c96d5
hex2ec5e72adc4

3214220111300 has 144 divisors (see below), whose sum is σ = 7675995704832. Its totient is φ = 1158551577600.

The previous prime is 3214220111287. The next prime is 3214220111329. The reversal of 3214220111300 is 31110224123.

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

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, 57126782 + ... + 57183018.

It is an arithmetic number, because the mean of its divisors is an integer number (53305525728).

Almost surely, 23214220111300 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 3214220111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837997852416).

3214220111300 is an abundant number, since it is smaller than the sum of its proper divisors (4461775593532).

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

3214220111300 is a wasteful number, since it uses less digits than its factorization.

3214220111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56718 (or 56711 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3214220111300 its reverse (31110224123), we get a palindrome (3245330335423).

The spelling of 3214220111300 in words is "three trillion, two hundred fourteen billion, two hundred twenty million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 223 233 275 446 466 550 892 932 1100 1115 1165 2230 2330 2453 2563 4460 4660 4906 5126 5575 5825 9812 10252 11150 11650 12265 12815 22300 23300 24530 25630 49060 51260 51959 56237 61325 64075 103918 112474 122650 128150 207836 224948 245300 256300 259795 281185 519590 562370 571549 618607 1039180 1124740 1143098 1237214 1298975 1405925 2286196 2474428 2597950 2811850 2857745 3093035 5195900 5623700 5715490 6186070 11430980 12372140 12540851 13103221 14288725 15465175 25081702 26206442 28577450 30930350 50163404 52412884 57154900 61860700 62704255 65516105 125408510 131032210 137949361 144135431 250817020 262064420 275898722 288270862 313521275 327580525 551797444 576541724 627042550 655161050 689746805 720677155 1254085100 1310322100 1379493610 1441354310 2758987220 2882708620 2922018283 3448734025 3603385775 5844036566 6897468050 7206771550 11688073132 13794936100 14413543100 14610091415 29220182830 32142201113 58440365660 64284402226 73050457075 128568804452 146100914150 160711005565 292201828300 321422011130 642844022260 803555027825 1607110055650 3214220111300