Search a number
-
+
10111021223212 = 22713219731540543
BaseRepresentation
bin1001001100100010011111…
…0101000000110100101100
31022210121022110020202002101
42103020213311000310230
52311124332413120322
633300534455104444
72062332350231020
oct223104765006454
938717273222071
1010111021223212
113249072983258
121173700672124
135846080b3700
1426d539bc6380
15128026a10327
hex93227d40d2c

10111021223212 has 144 divisors (see below), whose sum is σ = 23365492469760. Its totient is φ = 3737527432704.

The previous prime is 10111021223159. The next prime is 10111021223213. The reversal of 10111021223212 is 21232212011101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 10111021223212.

It is not an unprimeable number, because it can be changed into a prime (10111021223213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5793013 + ... + 7333555.

Almost surely, 210111021223212 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 10111021223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682746234880).

10111021223212 is an abundant number, since it is smaller than the sum of its proper divisors (13254471246548).

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

10111021223212 is a wasteful number, since it uses less digits than its factorization.

10111021223212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540672 (or 1540657 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10111021223212 its reverse (21232212011101), we get a palindrome (31343233234313).

The spelling of 10111021223212 in words is "ten trillion, one hundred eleven billion, twenty-one million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 73 76 91 133 146 169 182 247 266 292 338 364 494 511 532 676 949 988 1022 1183 1387 1729 1898 2044 2366 2774 3211 3458 3796 4732 5548 6422 6643 6916 9709 12337 12844 13286 18031 19418 22477 24674 26572 36062 38836 44954 49348 72124 86359 89908 126217 172718 234403 252434 345436 468806 504868 937612 1540543 1640821 3081086 3281642 6162172 6563284 10783801 20027059 21567602 29270317 40054118 43135204 58540634 80108236 112459639 117081268 140189413 204892219 224919278 260351767 280378826 380514121 409784438 449838556 520703534 560757652 761028242 787217473 819568876 1041407068 1461975307 1522056484 1574434946 1822462369 2136733141 2663598847 2923950614 3148869892 3644924738 4273466282 4946683573 5327197694 5847901228 7289849476 8546932564 9893367146 10233827149 10654395388 14957131987 19005678991 19786734292 20467654298 27777530833 29914263974 34626785011 38011357982 40935308596 55555061666 59828527948 69253570022 76022715964 111110123332 133039752937 138507140044 194442715831 266079505874 361107900829 388885431662 532159011748 722215801658 777770863324 1444431603316 2527755305803 5055510611606 10111021223212