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101111011120002 = 231313120183490283
BaseRepresentation
bin10110111111010110111101…
…111001101001001110000010
3111021000010012012202011000210
4112333112331321221032002
5101223100322321320002
6555013431322454550
730204013053635412
oct2677267571511602
9437003165664023
10101111011120002
112a242a36900644
12b40bba9064456
13445595c240130
141ad7b28842642
15ba51e1ca996c
hex5bf5bde69382

101111011120002 has 64 divisors (see below), whose sum is σ = 219451306669056. Its totient is φ = 30871998530880.

The previous prime is 101111011120001. The next prime is 101111011120013. The reversal of 101111011120002 is 200021110111101.

It is a self number, because there is not a number n which added to its sum of digits gives 101111011120002.

It is not an unprimeable number, because it can be changed into a prime (101111011120001) 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, 205984753 + ... + 206475035.

It is an arithmetic number, because the mean of its divisors is an integer number (3428926666704).

Almost surely, 2101111011120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111011120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109725653334528).

101111011120002 is an abundant number, since it is smaller than the sum of its proper divisors (118340295549054).

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

101111011120002 is a wasteful number, since it uses less digits than its factorization.

101111011120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510615.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111011120002 its reverse (200021110111101), we get a palindrome (301132121231103).

The spelling of 101111011120002 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 3406 5109 10218 20183 40366 60549 121098 262379 490283 524758 787137 980566 1470849 1574274 2643973 2941698 5287946 6373679 7931919 12747358 15863838 19121037 34371649 38242074 64227073 68743298 103114947 128454146 192681219 206229894 385362438 834951949 1669903898 2504855847 5009711694 9895381789 19790763578 29686145367 59372290734 128639963257 257279926514 385919889771 771839779542 1296295014359 2592590028718 3888885043077 7777770086154 16851835186667 33703670373334 50555505560001 101111011120002