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2210002101200 = 2452172411348549
BaseRepresentation
bin100000001010001110011…
…000111110001111010000
321211021101211211220220002
4200022032120332033100
5242202041014214300
64411132210505132
7315444624624665
oct40121630761720
97737354756802
102210002101200
11782290631723
122b83912951a8
1313052cb2820a
1478d710bda6c
153c7495c75d5
hex2028e63e3d0

2210002101200 has 120 divisors (see below), whose sum is σ = 5645186731800. Its totient is φ = 828547891200.

The previous prime is 2210002101199. The next prime is 2210002101221. The reversal of 2210002101200 is 21012000122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 354544030096 + 1855458071104 = 595436^2 + 1362152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964526 + ... + 2313074.

It is an arithmetic number, because the mean of its divisors is an integer number (47043222765).

Almost surely, 22210002101200 is an apocalyptic number.

2210002101200 is a gapful number since it is divisible by the number (20) 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 2210002101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822593365900).

2210002101200 is an abundant number, since it is smaller than the sum of its proper divisors (3435184630600).

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

2210002101200 is a wasteful number, since it uses less digits than its factorization.

2210002101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348825 (or 1348814 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2210002101200 its reverse (21012000122), we get a palindrome (2231014101322).

The spelling of 2210002101200 in words is "two trillion, two hundred ten billion, two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 241 272 340 400 425 482 680 850 964 1205 1360 1700 1928 2410 3400 3856 4097 4820 6025 6800 8194 9640 12050 16388 19280 20485 24100 32776 40970 48200 65552 81940 96400 102425 163880 204850 327760 409700 819400 1348549 1638800 2697098 5394196 6742745 10788392 13485490 21576784 22925333 26970980 33713725 45850666 53941960 67427450 91701332 107883920 114626665 134854900 183402664 229253330 269709800 325000309 366805328 458506660 539419600 573133325 650000618 917013320 1146266650 1300001236 1625001545 1834026640 2292533300 2600002472 3250003090 4585066600 5200004944 5525005253 6500006180 8125007725 9170133200 11050010506 13000012360 16250015450 22100021012 26000024720 27625026265 32500030900 44200042024 55250052530 65000061800 88400084048 110500105060 130000123600 138125131325 221000210120 276250262650 442000420240 552500525300 1105001050600 2210002101200