Search a number
-
+
200002111200210 = 2351112728116982851
BaseRepresentation
bin101101011110011010011110…
…110010101101101111010010
3222020011000102000020010210210
4231132122132302231233102
5202203313310431401320
61545211411303504550
760061450522240254
oct5536323662555722
9866130360203723
10200002111200210
11587aa467801310
121a5218ba458156
13877a16c79b987
143756222187cd4
15181c7a95ba0e0
hexb5e69ecadbd2

200002111200210 has 128 divisors (see below), whose sum is σ = 529643254284288. Its totient is φ = 47932395840000.

The previous prime is 200002111200197. The next prime is 200002111200223. The reversal of 200002111200210 is 12002111200002.

It is an interprime number because it is at equal distance from previous prime (200002111200197) and next prime (200002111200223).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3285285 + ... + 20268135.

It is an arithmetic number, because the mean of its divisors is an integer number (4137837924096).

Almost surely, 2200002111200210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002111200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264821627142144).

200002111200210 is an abundant number, since it is smaller than the sum of its proper divisors (329641143084078).

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

200002111200210 is a wasteful number, since it uses less digits than its factorization.

200002111200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16983280.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200002111200210 its reverse (12002111200002), we get a palindrome (212004222400212).

It can be divided in two parts, 2000021 and 11200210, that added together give a palindrome (13200231).

The spelling of 200002111200210 in words is "two hundred trillion, two billion, one hundred eleven million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 281 330 381 562 635 762 843 1270 1397 1405 1686 1905 2794 2810 3091 3810 4191 4215 6182 6985 8382 8430 9273 13970 15455 18546 20955 30910 35687 41910 46365 71374 92730 107061 178435 214122 356870 392557 535305 785114 1070610 1177671 1962785 2355342 3925570 5888355 11776710 16982851 33965702 50948553 84914255 101897106 169828510 186811361 254742765 373622722 509485530 560434083 934056805 1120868166 1868113610 2156822077 2802170415 4313644154 4772181131 5604340830 6470466231 9544362262 10784110385 12940932462 14316543393 21568220770 23725042847 23860905655 28633086786 32352331155 47450085694 47721811310 52493992441 64704662310 71175128541 71582716965 104987984882 118625214235 142350257082 143165433930 157481977323 237250428470 262469962205 314963954646 355875642705 524939924410 606067003637 711751285410 787409886615 1212134007274 1574819773230 1818201010911 3030335018185 3636402021822 6060670036370 6666737040007 9091005054555 13333474080014 18182010109110 20000211120021 33333685200035 40000422240042 66667370400070 100001055600105 200002111200210