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212133103003332 = 2235724453957819
BaseRepresentation
bin110000001110111100010110…
…001111111110011011000100
31000211002201121200111022100000
4300032330112033332123010
5210301042043332101312
62031100334022521300
762453053022231400
oct6016742617763304
91024081550438300
10212133103003332
116165716438a645
121b960996b96230
13914a0b1690324
143a55422c48100
15197d107461adc
hexc0ef163fe6c4

212133103003332 has 108 divisors (see below), whose sum is σ = 646875017945520. Its totient is φ = 60609457987344.

The previous prime is 212133103003307. The next prime is 212133103003351. The reversal of 212133103003332 is 233300301331212.

212133103003332 is a `hidden beast` number, since 2 + 1 + 2 + 13 + 3 + 10 + 300 + 3 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212133103003296 and 212133103003305.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2226931282 + ... + 2227026537.

Almost surely, 2212133103003332 is an apocalyptic number.

It is an amenable number.

212133103003332 is an abundant number, since it is smaller than the sum of its proper divisors (434741914942188).

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

212133103003332 is a wasteful number, since it uses less digits than its factorization.

212133103003332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453957852 (or 4453957831 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 212133103003332 its reverse (233300301331212), we get a palindrome (445433404334544).

The spelling of 212133103003332 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred three million, three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 11907 15876 23814 47628 4453957819 8907915638 13361873457 17815831276 26723746914 31177704733 40085620371 53447493828 62355409466 80171240742 93533114199 120256861113 124710818932 160342481484 187066228398 218243933131 240513722226 280599342597 360770583339 374132456796 436487866262 481027444452 561198685194 654731799393 721541166678 841798027791 872975732524 1082311750017 1122397370388 1309463598786 1443082333356 1683596055582 1964195398179 2164623500034 2525394083373 2618927197572 3367192111164 3928390796358 4329247000068 5050788166746 5892586194537 7576182250119 7856781592716 10101576333492 11785172389074 15152364500238 17677758583611 23570344778148 30304729000476 35355517167222 53033275750833 70711034334444 106066551501666 212133103003332