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3110021012032 = 261121338130013
BaseRepresentation
bin101101010000011011101…
…100101001101001000000
3102000022111201012202220121
4231100123230221221000
5401423310334341112
610340420211350024
7440456135300104
oct55203354515100
912008451182817
103110021012032
11a99a52868500
124228ab8b2314
131973734a5a5c
14aa750bc9904
1555d735dc407
hex2d41bb29a40

3110021012032 has 84 divisors (see below), whose sum is σ = 6784225355068. Its totient is φ = 1413493171200.

The previous prime is 3110021012029. The next prime is 3110021012053. The reversal of 3110021012032 is 2302101200113.

It can be written as a sum of positive squares in 2 ways, for example, as 102210647616 + 3007810364416 = 319704^2 + 1734304^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3110021011997 and 3110021012015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103607458 + ... + 103637470.

Almost surely, 23110021012032 is an apocalyptic number.

3110021012032 is a gapful number since it is divisible by the number (32) 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 3110021012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392112677534).

3110021012032 is an abundant number, since it is smaller than the sum of its proper divisors (3674204343036).

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

3110021012032 is a wasteful number, since it uses less digits than its factorization.

3110021012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43428 (or 43407 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3110021012032 its reverse (2302101200113), we get a palindrome (5412122212145).

The spelling of 3110021012032 in words is "three trillion, one hundred ten billion, twenty-one million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 13381 26762 30013 53524 60026 107048 120052 147191 214096 240104 294382 330143 428192 480208 588764 660286 856384 960416 1177528 1320572 1619101 1920832 2355056 2641144 3238202 3631573 4710112 5282288 6476404 7263146 9420224 10564576 12952808 14526292 21129152 25905616 29052584 51811232 58105168 103622464 116210336 232420672 401603953 803207906 1606415812 3212831624 4417643483 6425663248 8835286966 12851326496 17670573932 25702652992 35341147864 48594078313 70682295728 97188156626 141364591456 194376313252 282729182912 388752626504 777505253008 1555010506016 3110021012032