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110021211102 = 231119372938093
BaseRepresentation
bin110011001110111000…
…1100111001111011110
3101111222120022121112110
41212131301213033132
53300310412223402
6122313144214450
710643266602255
oct1463561471736
9344876277473
10110021211102
1142729118350
12193a5a6a426
13a4b4a1565a
145479d4579c
152cdddd756c
hex199dc673de

110021211102 has 128 divisors (see below), whose sum is σ = 260427363840. Its totient is φ = 30622717440.

The previous prime is 110021211101. The next prime is 110021211109. The reversal of 110021211102 is 201112120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13590568 + ... + 13598660.

It is an arithmetic number, because the mean of its divisors is an integer number (2034588780).

Almost surely, 2110021211102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130213681920).

110021211102 is an abundant number, since it is smaller than the sum of its proper divisors (150406152738).

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

110021211102 is a wasteful number, since it uses less digits than its factorization.

110021211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110021211102 its reverse (201112120011), we get a palindrome (311133331113).

It can be divided in two parts, 110021 and 211102, that added together give a palindrome (321123).

The spelling of 110021211102 in words is "one hundred ten billion, twenty-one million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 293 407 418 586 627 703 814 879 1221 1254 1406 1758 2109 2442 3223 4218 5567 6446 7733 8093 9669 10841 11134 15466 16186 16701 19338 21682 23199 24279 32523 33402 46398 48558 61237 65046 89023 119251 122474 153767 178046 183711 205979 238502 267069 299441 307534 357753 367422 411958 461301 534138 598882 617937 715506 898323 922602 1235874 1691437 1796646 2265769 2371249 3293851 3382874 4531538 4742498 5074311 5689379 6587702 6797307 7113747 9881553 10148622 11378758 13594614 14227494 17068137 19763106 26083739 34136274 45053731 52167478 62583169 78251217 87736213 90107462 125166338 135161193 156502434 175472426 187749507 263208639 270322386 375499014 495591041 526417278 965098343 991182082 1486773123 1666988047 1930196686 2895295029 2973546246 3333976094 5000964141 5790590058 10001928282 18336868517 36673737034 55010605551 110021211102