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2210013000032 = 256110170115991
BaseRepresentation
bin100000001010001111000…
…010100011000101100000
321211021102121100122021112
4200022033002203011200
5242202101312000112
64411133240242452
7315445116360005
oct40121702430540
97737377318245
102210013000032
117822967a6122
122b8394a70428
13130532172c26
1478d727198ac
153c74a52ba22
hex2028f0a3160

2210013000032 has 96 divisors (see below), whose sum is σ = 4472726102208. Its totient is φ = 1074528000000.

The previous prime is 2210013000007. The next prime is 2210013000049. The reversal of 2210013000032 is 2300003100122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2210012999980 and 2210013000016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138195557 + ... + 138211547.

It is an arithmetic number, because the mean of its divisors is an integer number (46590896898).

Almost surely, 22210013000032 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 2210013000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236363051104).

2210013000032 is an abundant number, since it is smaller than the sum of its proper divisors (2262713102176).

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

2210013000032 is a wasteful number, since it uses less digits than its factorization.

2210013000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16864 (or 16856 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2210013000032 its reverse (2300003100122), we get a palindrome (4510016100154).

The spelling of 2210013000032 in words is "two trillion, two hundred ten billion, thirteen million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 61 101 122 202 244 404 488 701 808 976 1402 1616 1952 2804 3232 5608 6161 11216 12322 15991 22432 24644 31982 42761 49288 63964 70801 85522 98576 127928 141602 171044 197152 255856 283204 342088 511712 566408 684176 975451 1132816 1368352 1615091 1950902 2265632 3230182 3901804 4318861 6460364 7803608 8637722 11209691 12920728 15607216 17275444 22419382 25841456 31214432 34550888 44838764 51682912 69101776 89677528 98520551 138203552 179355056 197041102 358710112 394082204 683791151 788164408 1132178791 1367582302 1576328816 2264357582 2735164604 3152657632 4528715164 5470329208 9057430328 10940658416 18114860656 21881316832 36229721312 69062906251 138125812502 276251625004 552503250008 1105006500016 2210013000032