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2010100444422 = 237596123357073
BaseRepresentation
bin11101010000000011010…
…100101010110100000110
321010011102100121120221020
4131100003110222310012
5230413141203210142
64135232152332010
7265140106602630
oct35200324526406
97104370546836
102010100444422
1170552a330214
122856a26a4006
13117722cbc6c5
146d40a0bba50
1537449acbcec
hex1d40352ad06

2010100444422 has 128 divisors (see below), whose sum is σ = 4769450449920. Its totient is φ = 552931799040.

The previous prime is 2010100444411. The next prime is 2010100444433. The reversal of 2010100444422 is 2244440010102.

It is an interprime number because it is at equal distance from previous prime (2010100444411) and next prime (2010100444433).

It is a junction number, because it is equal to n+sod(n) for n = 2010100444392 and 2010100444401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35191278 + ... + 35248350.

It is an arithmetic number, because the mean of its divisors is an integer number (37261331640).

Almost surely, 22010100444422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010100444422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384725224960).

2010100444422 is an abundant number, since it is smaller than the sum of its proper divisors (2759350005498).

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

2010100444422 is a wasteful number, since it uses less digits than its factorization.

2010100444422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57438.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2010100444422 its reverse (2244440010102), we get a palindrome (4254540454524).

The spelling of 2010100444422 in words is "two trillion, ten billion, one hundred million, four hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 59 61 118 122 177 183 233 354 366 413 427 466 699 826 854 1239 1281 1398 1631 2478 2562 3262 3599 4893 7198 9786 10797 13747 14213 21594 25193 27494 28426 41241 42639 50386 57073 75579 82482 85278 96229 99491 114146 151158 171219 192458 198982 288687 298473 342438 399511 577374 596946 799022 838567 1198533 1677134 2397066 2515701 3367307 3481453 5031402 5869969 6734614 6962906 10101921 10444359 11739938 13298009 17609907 20203842 20888718 23571149 24370171 26596018 35219814 39894027 47142298 48740342 70713447 73110513 79788054 93086063 141426894 146221026 186172126 205405727 279258189 410811454 558516378 616217181 784582531 811178549 1232434362 1437840089 1569165062 1622357098 2353747593 2433535647 2875680178 4313520267 4707495186 4867071294 5492077717 5678249843 8627040534 10984155434 11356499686 16476233151 17034749529 32952466302 34069499058 47859534391 95719068782 143578603173 287157206346 335016740737 670033481474 1005050222211 2010100444422