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2210222100012 = 2231922346747501
BaseRepresentation
bin100000001010011011100…
…000001100111000101100
321211021222011211000112020
4200022123200030320230
5242203013324200022
64411210110110140
7315453235604643
oct40123340147054
97737864730466
102210222100012
11782393834023
122b8432aab350
13130566595224
1478d923ca35a
153c75da8235c
hex2029b80ce2c

2210222100012 has 144 divisors (see below), whose sum is σ = 5691831005952. Its totient is φ = 666174960000.

The previous prime is 2210222099971. The next prime is 2210222100013. The reversal of 2210222100012 is 2100012220122.

It is a junction number, because it is equal to n+sod(n) for n = 2210222099964 and 2210222100000.

It is not an unprimeable number, because it can be changed into a prime (2210222100013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46506262 + ... + 46553762.

It is an arithmetic number, because the mean of its divisors is an integer number (39526604208).

Almost surely, 22210222100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210222100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845915502976).

2210222100012 is an abundant number, since it is smaller than the sum of its proper divisors (3481608905940).

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

2210222100012 is a wasteful number, since it uses less digits than its factorization.

2210222100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48036 (or 48015 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2210222100012 its reverse (2100012220122), we get a palindrome (4310234320134).

The spelling of 2210222100012 in words is "two trillion, two hundred ten billion, two hundred twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 361 437 467 722 874 934 1083 1311 1401 1444 1748 1868 2166 2622 2802 4332 5244 5604 8303 8873 10741 16606 17746 21482 24909 26619 32223 33212 35492 42964 47501 49818 53238 64446 95002 99636 106476 128892 142503 168587 190004 204079 285006 337174 408158 505761 570012 612237 674348 816316 902519 1011522 1092523 1224474 1805038 2023044 2185046 2448948 2707557 3277569 3610076 3877501 4370092 5415114 6555138 7755002 10830228 11632503 13110276 15510004 17147861 20757937 22182967 23265006 34295722 41515874 44365934 46530012 51443583 62273811 66548901 68591444 83031748 88731868 102887166 124547622 133097802 205774332 249095244 266195604 394400803 421476373 510208241 788801606 842952746 1020416482 1183202409 1264429119 1530624723 1577603212 1685905492 2040832964 2366404818 2528858238 3061249446 4732809636 5057716476 6122498892 8008051087 9693956579 16016102174 19387913158 24024153261 29081869737 32032204348 38775826316 48048306522 58163739474 96096613044 116327478948 184185175001 368370350002 552555525003 736740700004 1105111050006 2210222100012