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2132323021312 = 29116715137423
BaseRepresentation
bin11111000001111000010…
…110110011001000000000
321112211220020221210202021
4133001320112303020000
5234413444143140222
64311324202331224
7310024644425221
oct37017026631000
97484806853667
102132323021312
11752349835240
122a53127b9b14
131261007b1713
14752c269b248
153a6eec5dac7
hex1f0785b3200

2132323021312 has 160 divisors (see below), whose sum is σ = 4748534360064. Its totient is φ = 948423168000.

The previous prime is 2132323021291. The next prime is 2132323021319. The reversal of 2132323021312 is 2131203232312.

It is not an unprimeable number, because it can be changed into a prime (2132323021319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56960233 + ... + 56997655.

Almost surely, 22132323021312 is an apocalyptic number.

2132323021312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132323021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374267180032).

2132323021312 is an abundant number, since it is smaller than the sum of its proper divisors (2616211338752).

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

2132323021312 is a wasteful number, since it uses less digits than its factorization.

2132323021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37670 (or 37654 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2132323021312 its reverse (2131203232312), we get a palindrome (4263526253624).

The spelling of 2132323021312 in words is "two trillion, one hundred thirty-two billion, three hundred twenty-three million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 151 176 256 268 302 352 512 536 604 704 737 1072 1208 1408 1474 1661 2144 2416 2816 2948 3322 4288 4832 5632 5896 6644 8576 9664 10117 11792 13288 17152 19328 20234 23584 26576 34304 37423 38656 40468 47168 53152 74846 77312 80936 94336 106304 111287 149692 161872 188672 212608 222574 299384 323744 377344 411653 425216 445148 598768 647488 823306 850432 890296 1197536 1294976 1646612 1780592 2395072 2507341 2589952 3293224 3561184 4790144 5014682 5179904 5650873 6586448 7122368 9580288 10029364 11301746 13172896 14244736 19160576 20058728 22603492 26345792 27580751 28489472 40117456 45206984 52691584 55161502 56978944 62159603 80234912 90413968 105383168 110323004 124319206 160469824 180827936 210766336 220646008 248638412 320939648 361655872 378608491 441292016 497276824 641879296 723311744 757216982 882584032 994553648 1283758592 1446623488 1514433964 1765168064 1989107296 2893246976 3028867928 3530336128 3978214592 4164693401 6057735856 7060672256 7956429184 8329386802 12115471712 14121344512 15912858368 16658773604 24230943424 31825716736 33317547208 48461886848 66635094416 96923773696 133270188832 193847547392 266540377664 533080755328 1066161510656 2132323021312