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2034220312332 = 22321343157643849
BaseRepresentation
bin11101100110100000111…
…110101010011100001100
321012110200022101211111100
4131212200332222130030
5231312040344443312
64154301413023100
7266652606234345
oct35464076523414
97173608354440
102034220312332
11714787374a4a
1228a2b4324a90
13119a980977b0
14706575db0cc
1537dac3995dc
hex1d9a0faa70c

2034220312332 has 144 divisors (see below), whose sum is σ = 5702481584800. Its totient is φ = 607462861824.

The previous prime is 2034220312279. The next prime is 2034220312351. The reversal of 2034220312332 is 2332130224302.

2034220312332 is a `hidden beast` number, since 2 + 0 + 3 + 422 + 0 + 3 + 1 + 233 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2034220312296 and 2034220312305.

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, 2837544 + ... + 3481392.

Almost surely, 22034220312332 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 2034220312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851240792400).

2034220312332 is an abundant number, since it is smaller than the sum of its proper divisors (3668261272468).

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

2034220312332 is a wasteful number, since it uses less digits than its factorization.

2034220312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644072 (or 644067 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2034220312332 its reverse (2332130224302), we get a palindrome (4366350536634).

The spelling of 2034220312332 in words is "two trillion, thirty-four billion, two hundred twenty million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 157 172 234 258 314 387 468 471 516 559 628 774 942 1118 1413 1548 1677 1884 2041 2236 2826 3354 4082 5031 5652 6123 6708 6751 8164 10062 12246 13502 18369 20124 20253 24492 27004 36738 40506 60759 73476 81012 87763 121518 175526 243036 263289 351052 526578 643849 789867 1053156 1287698 1579734 1931547 2575396 3159468 3863094 5794641 7726188 8370037 11589282 16740074 23178564 25110111 27685507 33480148 50220222 55371014 75330333 83056521 100440444 101084293 110742028 150660666 166113042 202168586 249169563 301321332 303252879 332226084 359911591 404337172 498339126 606505758 719823182 909758637 996678252 1079734773 1213011516 1314095809 1439646364 1819517274 2159469546 2628191618 3239204319 3639034548 3942287427 4318939092 4346624599 5256383236 6478408638 7884574854 8693249198 11826862281 12956817276 13039873797 15769149708 17386498396 23653724562 26079747594 39119621391 47307449124 52159495188 56506119787 78239242782 113012239574 156478485564 169518359361 226024479148 339036718722 508555078083 678073437444 1017110156166 2034220312332