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10112001000222 = 23111996317191697
BaseRepresentation
bin1001001100100110001000…
…1110100100001100011110
31022210200211201212120110210
42103021202032210030132
52311133334224001342
633301220015113250
72062365545213532
oct223114216441436
938720751776423
1010112001000222
113249525a44220
121173934812826
1358473308cb14
1426d5cdd8bbc2
15128082a4979c
hex932623a431e

10112001000222 has 128 divisors (see below), whose sum is σ = 22252548096000. Its totient is φ = 3037987814400.

The previous prime is 10112001000163. The next prime is 10112001000253. The reversal of 10112001000222 is 22200010021101.

It is a junction number, because it is equal to n+sod(n) for n = 10112001000198 and 10112001000207.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5958750478 + ... + 5958752174.

It is an arithmetic number, because the mean of its divisors is an integer number (173848032000).

Almost surely, 210112001000222 is an apocalyptic number.

10112001000222 is an abundant number, since it is smaller than the sum of its proper divisors (12140547095778).

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

10112001000222 is a wasteful number, since it uses less digits than its factorization.

10112001000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112001000222 its reverse (22200010021101), we get a palindrome (32312011021323).

The spelling of 10112001000222 in words is "ten trillion, one hundred twelve billion, one million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 199 398 597 631 719 1194 1262 1438 1697 1893 2157 2189 3394 3786 4314 4378 5091 6567 6941 7909 10182 13134 13882 15818 18667 20823 23727 37334 41646 47454 56001 112002 125569 143081 251138 286162 337703 376707 429243 453689 675406 753414 858486 907378 1013109 1070807 1220143 1361067 1381259 1573891 2026218 2141614 2440286 2722134 2762518 3147782 3212421 3660429 3714733 4143777 4721673 4990579 6424842 7320858 7429466 8287554 9443346 9981158 11144199 11778877 13421573 14971737 22288398 23557754 26843146 29943474 35336631 40264719 70673262 80529438 90284111 180568222 213090593 242808457 270852333 426181186 485616914 541704666 639271779 728425371 769910233 993125221 1278543558 1456850742 1539820466 1986250442 2309730699 2343996523 2670893027 2979375663 4619461398 4687993046 5341786054 5958751326 7031989569 8012679081 8469012563 14063979138 16025358162 16938025126 25407037689 50814075378 153212136367 306424272734 459636409101 919272818202 1685333500037 3370667000074 5056000500111 10112001000222