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210002202011120 = 24517918097810353
BaseRepresentation
bin101111101111111011110010…
…101001110010010111110000
31000112120000101112100001210012
4233233323302221302113300
5210011134002203323440
62022345402455154052
762143105222525451
oct5757736251622760
91015500345301705
10210002202011120
1160a0548531a972
121b677a00675928
1390241796a125c
1439c0237395128
15194298c499e65
hexbefef2a725f0

210002202011120 has 80 divisors (see below), whose sum is σ = 491010538448160. Its totient is φ = 83526883295232.

The previous prime is 210002202011057. The next prime is 210002202011171. The reversal of 210002202011120 is 21110202200012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 210002202011095 and 210002202011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258743864 + ... + 259554216.

It is an arithmetic number, because the mean of its divisors is an integer number (6137631730602).

Almost surely, 2210002202011120 is an apocalyptic number.

210002202011120 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 210002202011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245505269224080).

210002202011120 is an abundant number, since it is smaller than the sum of its proper divisors (281008336437040).

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

210002202011120 is a wasteful number, since it uses less digits than its factorization.

210002202011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828642 (or 828636 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210002202011120 its reverse (21110202200012), we get a palindrome (231112404211132).

The spelling of 210002202011120 in words is "two hundred ten trillion, two billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 18097 36194 72388 90485 144776 180970 289552 361940 723880 810353 1447760 1620706 3239363 3241412 4051765 6478726 6482824 8103530 12957452 12965648 16196815 16207060 25914904 32393630 32414120 51829808 64787260 64828240 129574520 145053187 259149040 290106374 580212748 725265935 1160425496 1450531870 2320850992 2901063740 5802127480 11604254960 14664958241 29329916482 58659832964 73324791205 117319665928 146649582410 234639331856 293299164820 586598329640 1173196659280 2625027525139 5250055050278 10500110100556 13125137625695 21000220201112 26250275251390 42000440402224 52500550502780 105001101005560 210002202011120