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2231311331032 = 2373115123773581
BaseRepresentation
bin100000011110000100100…
…001001110111011011000
321220022101220220221211121
4200132010201032323120
5243024211200043112
64425014505335024
7320130655243330
oct40360441167330
97808356827747
102231311331032
11790326092473
12300539797474
1313254781cc54
1479dd320a0c0
153d095258407
hex2078484eed8

2231311331032 has 128 divisors (see below), whose sum is σ = 4971783905280. Its totient is φ = 918656640000.

The previous prime is 2231311331017. The next prime is 2231311331047. The reversal of 2231311331032 is 2301331131322.

It is an interprime number because it is at equal distance from previous prime (2231311331017) and next prime (2231311331047).

It is a super-3 number, since 3×22313113310323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231311330988 and 2231311331006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623095482 + ... + 623099062.

It is an arithmetic number, because the mean of its divisors is an integer number (38842061760).

Almost surely, 22231311331032 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 2231311331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485891952640).

2231311331032 is an abundant number, since it is smaller than the sum of its proper divisors (2740472574248).

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

2231311331032 is a wasteful number, since it uses less digits than its factorization.

2231311331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2231311331032 its reverse (2301331131322), we get a palindrome (4532642462354).

The spelling of 2231311331032 in words is "two trillion, two hundred thirty-one billion, three hundred eleven million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 302 434 604 868 1057 1208 1736 2114 2377 3581 4228 4681 4754 7162 8456 9362 9508 14324 16639 18724 19016 25067 28648 32767 33278 37448 50134 65534 66556 73687 100268 111011 131068 133112 147374 200536 222022 262136 294748 358927 444044 515809 540731 589496 717854 777077 888088 1031618 1081462 1435708 1554154 2063236 2162924 2512489 2871416 3108308 3785117 4126472 4325848 5024978 6216616 7570234 8512037 10049956 11126737 15140468 16762661 17024074 20099912 22253474 30280936 33525322 34048148 44506948 59584259 67050644 68096296 77887159 89013896 117338627 119168518 134101288 155774318 234677254 238337036 263873147 311548636 469354508 476674072 527746294 623097272 938709016 1055492588 1285317587 1847112029 2110985176 2570635174 3694224058 5141270348 7388448116 8997223109 10282540696 14776896232 17994446218 35988892436 39844845197 71977784872 79689690394 159379380788 278913916379 318758761576 557827832758 1115655665516 2231311331032