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210122000112 = 243374116131789
BaseRepresentation
bin1100001110110000111…
…1110100011011110000
3202002100202121120022110
43003230033310123300
511420312213000422
6240310111405320
721116006350263
oct3035417643360
9662322546273
10210122000112
1181126433752
1234881523840
1316a78383a5b
14a254520cda
1556ebdd060c
hex30ec3f46f0

210122000112 has 160 divisors (see below), whose sum is σ = 571756530240. Its totient is φ = 66407178240.

The previous prime is 210122000089. The next prime is 210122000159. The reversal of 210122000112 is 211000221012.

It is a super-3 number, since 3×2101220001123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117451314 + ... + 117453102.

It is an arithmetic number, because the mean of its divisors is an integer number (3573478314).

Almost surely, 2210122000112 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 210122000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285878265120).

210122000112 is an abundant number, since it is smaller than the sum of its proper divisors (361634530128).

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

210122000112 is a wasteful number, since it uses less digits than its factorization.

210122000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3485 counting only the distinct ones).

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

Adding to 210122000112 its reverse (211000221012), we get a palindrome (421122221124).

The spelling of 210122000112 in words is "two hundred ten billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1517 1613 1776 1789 1968 3034 3226 3578 4551 4839 5367 6068 6452 7156 9102 9678 10734 12136 12904 14312 18204 19356 21468 24272 25808 28624 36408 38712 42936 59681 66133 66193 72816 73349 77424 85872 119362 132266 132386 146698 179043 198399 198579 220047 238724 264532 264772 293396 358086 396798 397158 440094 477448 529064 529544 586792 716172 793596 794316 880188 954896 1058128 1059088 1173584 1432344 1587192 1588632 1760376 2446921 2713913 2864688 2885657 3174384 3177264 3520752 4893842 5427826 5771314 7340763 8141739 8656971 9787684 10855652 11542628 14681526 16283478 17313942 19575368 21711304 23085256 29363052 32566956 34627884 39150736 43422608 46170512 58726104 65133912 69255768 106769309 117452208 118311937 130267824 138511536 213538618 236623874 320307927 354935811 427077236 473247748 640615854 709871622 854154472 946495496 1281231708 1419743244 1708308944 1892990992 2562463416 2839486488 4377541669 5124926832 5678972976 8755083338 13132625007 17510166676 26265250014 35020333352 52530500028 70040666704 105061000056 210122000112