Search a number
-
+
100212341200114 = 211131932417533223
BaseRepresentation
bin10110110010010010000000…
…111111111101010011110010
3111010211012120100202010200211
4112302102000333331103302
5101113334333321400424
6553044525231334334
730052050143436433
oct2662220077752362
9433735510663624
10100212341200114
1129a268a7093710
12b2a59a63813aa
1343bbca21c15a0
141aa6435d6b48a
15b8bb46410b94
hex5b2480ffd4f2

100212341200114 has 64 divisors (see below), whose sum is σ = 178249579377408. Its totient is φ = 41655704371200.

The previous prime is 100212341200061. The next prime is 100212341200117. The reversal of 100212341200114 is 411002143212001.

It is a super-2 number, since 2×1002123412001142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100212341200117) 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, 9536107 + ... + 17069329.

It is an arithmetic number, because the mean of its divisors is an integer number (2785149677772).

Almost surely, 2100212341200114 is an apocalyptic number.

100212341200114 is a deficient number, since it is larger than the sum of its proper divisors (78037238177294).

100212341200114 is a wasteful number, since it uses less digits than its factorization.

100212341200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533683.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 100212341200114 its reverse (411002143212001), we get a palindrome (511214484412115).

The spelling of 100212341200114 in words is "one hundred trillion, two hundred twelve billion, three hundred forty-one million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 11 13 22 26 143 193 241 286 386 482 2123 2509 2651 3133 4246 5018 5302 6266 27599 34463 46513 55198 68926 93026 511643 604669 1023286 1209338 6651359 7533223 13302718 15066446 82865453 97931899 165730906 195863798 1077250889 1453912039 1815506743 2154501778 2907824078 3631013486 15993032429 18900856507 19970574173 23601587659 31986064858 37801713014 39941148346 47203175318 207909421577 259617464249 350392801399 415818843154 519234928498 700785602798 3854320815389 4555106418187 7708641630778 9110212836374 50106170600057 100212341200114