Search a number
-
+
1020345213222 = 2321972631094089
BaseRepresentation
bin11101101100100010101…
…00000110000100100110
310121112200121112100020200
432312101110012010212
5113204131333310342
62100423511011330
7133501051132326
oct16662124060446
93545617470220
101020345213222
113637a92aa7a5
121458bb669b46
13752ab34194a
1437556511286
151b81c97294c
hexed91506126

1020345213222 has 48 divisors (see below), whose sum is σ = 2230420626720. Its totient is φ = 337101641856.

The previous prime is 1020345213193. The next prime is 1020345213253. The reversal of 1020345213222 is 2223125430201.

1020345213222 is a `hidden beast` number, since 1 + 0 + 203 + 452 + 1 + 3 + 2 + 2 + 2 = 666.

It is a super-2 number, since 2×10203452132222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385554 + ... + 1479642.

It is an arithmetic number, because the mean of its divisors is an integer number (46467096390).

Almost surely, 21020345213222 is an apocalyptic number.

1020345213222 is an abundant number, since it is smaller than the sum of its proper divisors (1210075413498).

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

1020345213222 is a wasteful number, since it uses less digits than its factorization.

1020345213222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094557 (or 1094554 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1020345213222 in words is "one trillion, twenty billion, three hundred forty-five million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 197 263 394 526 591 789 1182 1578 1773 2367 3546 4734 51811 103622 155433 310866 466299 932598 1094089 2188178 3282267 6564534 9846801 19693602 215535533 287745407 431071066 575490814 646606599 863236221 1293213198 1726472442 1939819797 2589708663 3879639594 5179417326 56685845179 113371690358 170057535537 340115071074 510172606611 1020345213222