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10111000210002 = 23237711307163601
BaseRepresentation
bin1001001100100010011010…
…0100110110101001010010
31022210121020222201011101100
42103020212210312221102
52311124312023210002
633300532424445230
72062332003512016
oct223104644665122
938717228634340
1010111000210002
11324906203076a
1211736b5619816
13584603937063
1426d5370b6546
15128024c5e11c
hex93226936a52

10111000210002 has 96 divisors (see below), whose sum is σ = 22833740052864. Its totient is φ = 3230563392000.

The previous prime is 10111000209971. The next prime is 10111000210019. The reversal of 10111000210002 is 20001200011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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, 61721002 + ... + 61884602.

It is an arithmetic number, because the mean of its divisors is an integer number (237851458884).

Almost surely, 210111000210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111000210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416870026432).

10111000210002 is an abundant number, since it is smaller than the sum of its proper divisors (12722739842862).

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

10111000210002 is a wasteful number, since it uses less digits than its factorization.

10111000210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165024 (or 165021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10111000210002 its reverse (20001200011101), we get a palindrome (30112200221103).

The spelling of 10111000210002 in words is "ten trillion, one hundred eleven billion, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 639 666 1278 1307 2614 2627 3921 5254 7842 7881 11763 15762 23526 23643 47286 48359 92797 96718 145077 163601 185594 278391 290154 327202 435231 490803 556782 835173 870462 981606 1472409 1670346 2944818 3433489 6053237 6866978 10300467 11615671 12106474 18159711 20600934 23231342 30901401 34847013 36319422 54479133 61802802 69694026 104541039 108958266 209082078 213826507 427653014 429779827 641479521 859559654 1282959042 1289339481 1924438563 2578678962 3848877126 3868018443 7736036886 7911580759 15181681997 15823161518 23734742277 30363363994 45545045991 47469484554 71204226831 91090091982 136635137973 142408453662 273270275946 561722233889 1123444467778 1685166701667 3370333403334 5055500105001 10111000210002