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2201010330112 = 29113835711787
BaseRepresentation
bin100000000001110110011…
…100000101101000000000
321210102012012020121211021
4200001312130011220000
5242030132121030422
64403044041555224
7315006042055636
oct40016634055000
97712165217737
102201010330112
11779496a50a50
122b66a1aa5b14
1312c728c995c9
147875ac0b356
153c3beec3dc7
hex20076705a00

2201010330112 has 160 divisors (see below), whose sum is σ = 4821161140224. Its totient is φ = 995542118400.

The previous prime is 2201010330053. The next prime is 2201010330131. The reversal of 2201010330112 is 2110330101022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231678083 + ... + 1231679869.

Almost surely, 22201010330112 is an apocalyptic number.

2201010330112 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 2201010330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410580570112).

2201010330112 is an abundant number, since it is smaller than the sum of its proper divisors (2620150810112).

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

2201010330112 is a wasteful number, since it uses less digits than its factorization.

2201010330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2754 counting only the distinct ones).

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

Adding to 2201010330112 its reverse (2110330101022), we get a palindrome (4311340431134).

The spelling of 2201010330112 in words is "two trillion, two hundred one billion, ten million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 383 512 571 704 766 1142 1408 1532 1787 2284 2816 3064 3574 4213 4568 5632 6128 6281 7148 8426 9136 12256 12562 14296 16852 18272 19657 24512 25124 28592 33704 36544 39314 49024 50248 57184 67408 73088 78628 98048 100496 114368 134816 146176 157256 196096 200992 218693 228736 269632 292352 314512 401984 437386 457472 539264 629024 684421 803968 874772 914944 1020377 1078528 1258048 1368842 1607936 1749544 2040754 2157056 2405623 2516096 2737684 3215872 3499088 4081508 4811246 5032192 5475368 6998176 7528631 8163016 9622492 10064384 10950736 11224147 13996352 15057262 16326032 19244984 21901472 22448294 27992704 30114524 32652064 38489968 43802944 44896588 55985408 60229048 65304128 76979936 87605888 89793176 111970816 120458096 130608256 153959872 175211776 179586352 240916192 261216512 307919744 350423552 359172704 390804391 481832384 522433024 615839488 718345408 781608782 963664768 1231678976 1436690816 1563217564 1927329536 2873381632 3126435128 3854659072 4298848301 5746763264 6252870256 8597696602 12505740512 17195393204 25011481024 34390786408 50022962048 68781572816 100045924096 137563145632 200091848192 275126291264 550252582528 1100505165056 2201010330112