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2201134315344 = 2436115719132503
BaseRepresentation
bin100000000001111101110…
…101000011011101010000
321210102111211112201120220
4200001331311003131100
5242030410341042334
64403104231233040
7315012105655626
oct40017565033520
97712454481526
102201134315344
1177954aa34988
122b6717518780
1312c74888a453
147876d483516
153c3cad15449
hex2007dd43750

2201134315344 has 160 divisors (see below), whose sum is σ = 5821658413824. Its totient is φ = 716425482240.

The previous prime is 2201134315307. The next prime is 2201134315349. The reversal of 2201134315344 is 4435134311022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201134315349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879397197 + ... + 879399699.

Almost surely, 22201134315344 is an apocalyptic number.

2201134315344 is a gapful number since it is divisible by the number (24) 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 2201134315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910829206912).

2201134315344 is an abundant number, since it is smaller than the sum of its proper divisors (3620524098480).

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

2201134315344 is a wasteful number, since it uses less digits than its factorization.

2201134315344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 2201134315344 its reverse (4435134311022), we get a palindrome (6636268626366).

The spelling of 2201134315344 in words is "two trillion, two hundred one billion, one hundred thirty-four million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 157 183 244 314 366 471 488 628 732 942 976 1256 1464 1884 1913 2503 2512 2928 3768 3826 5006 5739 7509 7536 7652 9577 10012 11478 15018 15304 19154 20024 22956 28731 30036 30608 38308 40048 45912 57462 60072 76616 91824 114924 116693 120144 152683 153232 229848 233386 300341 305366 350079 392971 458049 459696 466772 600682 610732 700158 785942 901023 916098 933544 1178913 1201364 1221464 1400316 1571884 1802046 1832196 1867088 2357826 2402728 2442928 2800632 3143768 3604092 3664392 4715652 4788239 4805456 5601264 6287536 7208184 7328784 9431304 9576478 14364717 14416368 18320801 18862608 19152956 23971231 28729434 36641602 38305912 47942462 54962403 57458868 71913693 73283204 76611824 95884924 109924806 114917736 143827386 146566408 191769848 219849612 229835472 287654772 292082579 293132816 383539696 439699224 575309544 584165158 751753523 876247737 879398448 1150619088 1168330316 1503507046 1752495474 2255260569 2336660632 3007014092 3504990948 4510521138 4673321264 6014028184 7009981896 9021042276 12028056368 14019963792 18042084552 36084169104 45856964903 91713929806 137570894709 183427859612 275141789418 366855719224 550283578836 733711438448 1100567157672 2201134315344