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1000202213332 = 2272471735691103
BaseRepresentation
bin11101000111000001011…
…00101001011111010100
310112121200210220221000201
432203200230221133110
5112341403231311312
62043253032350244
7132155641352200
oct16434054513724
93477623827021
101000202213332
1135620208a853
12141a19845384
137341b1493ba
14365a5243b00
151b03e3ab557
hexe8e0b297d4

1000202213332 has 144 divisors (see below), whose sum is σ = 2097042877440. Its totient is φ = 416002073088.

The previous prime is 1000202213303. The next prime is 1000202213341. The reversal of 1000202213332 is 2333122020001.

1000202213332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 906801093 + ... + 906802195.

It is an arithmetic number, because the mean of its divisors is an integer number (14562797760).

Almost surely, 21000202213332 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 1000202213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048521438720).

1000202213332 is an abundant number, since it is smaller than the sum of its proper divisors (1096840664108).

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

1000202213332 is a wasteful number, since it uses less digits than its factorization.

1000202213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1000202213332 its reverse (2333122020001), we get a palindrome (3333324233333).

The spelling of 1000202213332 in words is "one trillion, two hundred two million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 49 94 98 173 188 196 329 346 569 658 692 1103 1138 1211 1316 2206 2276 2303 2422 3983 4412 4606 4844 7721 7966 8131 8477 9212 15442 15932 16262 16954 26743 27881 30884 32524 33908 51841 53486 54047 55762 56917 98437 103682 106972 108094 111524 113834 187201 190819 196874 207364 216188 227668 362887 374402 381638 393748 398419 627607 689059 725774 748804 763276 796838 1255214 1310407 1335733 1378118 1451548 1593676 2510428 2540209 2620814 2671466 2756236 4393249 4626539 4823413 5080418 5241628 5342932 8786498 8968493 9253078 9350131 9646826 10160836 17572996 17936986 18506156 18700262 19293652 29497529 30752743 32385773 35873972 37400524 58995058 61505486 62779451 64771546 108576011 117990116 123010972 125558902 129543092 206482703 217152022 226700411 251117804 412965406 434304044 439456157 453400822 760032077 825930812 878912314 906801644 1445378921 1520064154 1757824628 2890757842 3040128308 5103072517 5320224539 5781515684 10206145034 10640449078 20412290068 21280898156 35721507619 71443015238 142886030476 250050553333 500101106666 1000202213332