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3312244000100 = 2252723401513041
BaseRepresentation
bin110000001100110001001…
…000001000010101100100
3102201122110222102221202102
4300030301020020111210
5413231433431000400
611013342432031232
7461205331315640
oct60146110102544
912648428387672
103312244000100
11106779542a522
12455b27992518
131b0460214a89
14b645620dc20
155b25bcbe9d5
hex30331208564

3312244000100 has 144 divisors (see below), whose sum is σ = 8592903518976. Its totient is φ = 1083540480000.

The previous prime is 3312244000097. The next prime is 3312244000127. The reversal of 3312244000100 is 10004422133.

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

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, 6199580 + ... + 6712620.

It is an arithmetic number, because the mean of its divisors is an integer number (59672941104).

Almost surely, 23312244000100 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 3312244000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296451759488).

3312244000100 is an abundant number, since it is smaller than the sum of its proper divisors (5280659518876).

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

3312244000100 is a wasteful number, since it uses less digits than its factorization.

3312244000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513486 (or 513479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3312244000100 its reverse (10004422133), we get a palindrome (3322248422233).

The spelling of 3312244000100 in words is "three trillion, three hundred twelve billion, two hundred forty-four million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 401 460 575 644 700 802 805 1150 1604 1610 2005 2300 2807 3220 4010 4025 5614 8020 8050 9223 10025 11228 14035 16100 18446 20050 28070 36892 40100 46115 56140 64561 70175 92230 129122 140350 184460 230575 258244 280700 322805 461150 513041 645610 922300 1026082 1291220 1614025 2052164 2565205 3228050 3591287 5130410 6456100 7182574 10260820 11799943 12826025 14365148 17956435 23599886 25652050 35912870 47199772 51304100 58999715 71825740 82599601 89782175 117999430 165199202 179564350 205729441 235998860 294998575 330398404 359128700 411458882 412998005 589997150 822917764 825996010 1028647205 1179994300 1440106087 1651992020 2057294410 2064990025 2880212174 4114588820 4129980050 4731777143 5143236025 5760424348 7200530435 8259960100 9463554286 10286472050 14401060870 18927108572 20572944100 23658885715 28802121740 33122440001 36002652175 47317771430 66244880002 72005304350 94635542860 118294428575 132489760004 144010608700 165612200005 236588857150 331224400010 473177714300 662448800020 828061000025 1656122000050 3312244000100