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2102212323300 = 2235241269635359
BaseRepresentation
bin11110100101110101100…
…111100110011111100100
321102222011210100212020210
4132211311213212133210
5233420312323321200
64245424253455420
7304610531626515
oct36456547463744
97388153325223
102102212323300
117405a8063151
1229b50a7a1570
131233124cb64b
1473a67678a0c
1539a3b56a650
hex1e9759e67e4

2102212323300 has 144 divisors (see below), whose sum is σ = 6253924723200. Its totient is φ = 544883020800.

The previous prime is 2102212323269. The next prime is 2102212323307. The reversal of 2102212323300 is 33232122012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2102212323307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2991021 + ... + 3626379.

It is an arithmetic number, because the mean of its divisors is an integer number (43430032800).

Almost surely, 22102212323300 is an apocalyptic number.

2102212323300 is a gapful number since it is divisible by the number (20) 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 2102212323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126962361600).

2102212323300 is an abundant number, since it is smaller than the sum of its proper divisors (4151712399900).

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

2102212323300 is a wasteful number, since it uses less digits than its factorization.

2102212323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635686 (or 635679 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2102212323300 its reverse (33232122012), we get a palindrome (2135444445312).

The spelling of 2102212323300 in words is "two trillion, one hundred two billion, two hundred twelve million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 269 300 410 492 538 615 807 820 1025 1076 1230 1345 1614 2050 2460 2690 3075 3228 4035 4100 5380 6150 6725 8070 11029 12300 13450 16140 20175 22058 26900 33087 40350 44116 55145 66174 80700 110290 132348 165435 220580 275725 330870 551450 635359 661740 827175 1102900 1270718 1654350 1906077 2541436 3176795 3308700 3812154 6353590 7624308 9530385 12707180 15883975 19060770 26049719 31767950 38121540 47651925 52099438 63535900 78149157 95303850 104198876 130248595 156298314 170911571 190607700 260497190 312596628 341823142 390745785 512734713 520994380 651242975 683646284 781491570 854557855 1025469426 1302485950 1562983140 1709115710 1953728925 2050938852 2563673565 2604971900 3418231420 3907457850 4272789275 5127347130 7007374411 7814915700 8545578550 10254694260 12818367825 14014748822 17091157100 21022123233 25636735650 28029497644 35036872055 42044246466 51273471300 70073744110 84088492932 105110616165 140147488220 175184360275 210221232330 350368720550 420442464660 525553080825 700737441100 1051106161650 2102212323300