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211421010042 = 232113140018609
BaseRepresentation
bin1100010011100110101…
…1001001100001111010
3202012201021221002221100
43010321223021201322
511430442234310132
6241043033552230
721163131635244
oct3047153114172
9665637832840
10211421010042
1181732715080
1234b84575676
1316c24533198
14a338c65094
155775e7737c
hex3139ac987a

211421010042 has 96 divisors (see below), whose sum is σ = 516031326720. Its totient is φ = 61977600000.

The previous prime is 211421010037. The next prime is 211421010049. The reversal of 211421010042 is 240010124112.

211421010042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211421009997 and 211421010024.

It is not an unprimeable number, because it can be changed into a prime (211421010049) 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, 24553834 + ... + 24562442.

It is an arithmetic number, because the mean of its divisors is an integer number (5375326320).

Almost surely, 2211421010042 is an apocalyptic number.

211421010042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211421010042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258015663360).

211421010042 is an abundant number, since it is smaller than the sum of its proper divisors (304610316678).

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

211421010042 is a wasteful number, since it uses less digits than its factorization.

211421010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211421010042 its reverse (240010124112), we get a palindrome (451431134154).

The spelling of 211421010042 in words is "two hundred eleven billion, four hundred twenty-one million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 4001 6138 8002 8609 12003 17218 24006 25827 36009 44011 51654 72018 77481 88022 94699 124031 132033 154962 189398 248062 264066 266879 284097 372093 396099 533758 568194 744186 792198 800637 852291 1116279 1364341 1601274 1704582 2232558 2401911 2728682 2935669 4093023 4803822 5871338 8186046 8807007 12279069 17614014 24558138 26421021 34444609 52842042 68889218 103333827 206667654 310001481 378890699 620002962 757781398 1067782879 1136672097 2135565758 2273344194 3203348637 3410016291 6406697274 6820032582 9610045911 11745611669 19220091822 23491223338 35236835007 70473670014 105710505021 211421010042