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11212200048 = 24371910971601
BaseRepresentation
bin10100111000100110…
…01001100001110000
31001221101201202222110
422130103021201300
5140430310400143
65052324205320
7544564061610
oct123423114160
931841652873
1011212200048
114833aa3935
12220ab39840
131098b939ca
1478514aa40
15459508533
hex29c4c9870

11212200048 has 160 divisors (see below), whose sum is σ = 34898480640. Its totient is φ = 3030220800.

The previous prime is 11212200047. The next prime is 11212200049. The reversal of 11212200048 is 84000221211.

It is an interprime number because it is at equal distance from previous prime (11212200047) and next prime (11212200049).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11212199997 and 11212200033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212200047) 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, 7002448 + ... + 7004048.

It is an arithmetic number, because the mean of its divisors is an integer number (218115504).

Almost surely, 211212200048 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 11212200048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17449240320).

11212200048 is an abundant number, since it is smaller than the sum of its proper divisors (23686280592).

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

11212200048 is a wasteful number, since it uses less digits than its factorization.

11212200048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11212200048 its reverse (84000221211), we get a palindrome (95212421259).

The spelling of 11212200048 in words is "eleven billion, two hundred twelve million, two hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1097 1596 1601 2128 2194 3192 3202 3291 4388 4803 6384 6404 6582 7679 8776 9606 11207 12808 13164 15358 17552 19212 20843 22414 23037 25616 26328 30419 30716 33621 38424 41686 44828 46074 52656 60838 61432 62529 67242 76848 83372 89656 91257 92148 121676 122864 125058 134484 145901 166744 179312 182514 184296 212933 243352 250116 268968 291802 333488 365028 368592 425866 437703 486704 500232 537936 583604 638799 730056 851732 875406 1000464 1167208 1277598 1460112 1703464 1750812 1756297 2334416 2555196 3406928 3501624 3512594 5110392 5268891 7003248 7025188 10220784 10537782 12294079 14050376 21075564 24588158 28100752 33369643 36882237 42151128 49176316 66739286 73764474 84302256 98352632 100108929 133478572 147528948 196705264 200217858 233587501 266957144 295057896 400435716 467175002 533914288 590115792 700762503 800871432 934350004 1401525006 1601742864 1868700008 2803050012 3737400016 5606100024 11212200048