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101012111122002 = 23191301681069293
BaseRepresentation
bin10110111101111010110111…
…000000000101111001010010
3111020122122220200221200211220
4112331322313000011321102
5101214440300421401002
6554500153452345510
730163612164552003
oct2675726700057122
9436578820850756
10101012111122002
112a204aa5391303
12b3b49a7775296
13444952a5b2262
141ad30259211aa
15ba28544067bc
hex5bdeb7005e52

101012111122002 has 32 divisors (see below), whose sum is σ = 212820532989120. Its totient is φ = 31874042865600.

The previous prime is 101012111121931. The next prime is 101012111122049. The reversal of 101012111122002 is 200221111210101.

It is a happy number.

It is a super-3 number, since 3×1010121111220023 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340386333 + ... + 340682960.

It is an arithmetic number, because the mean of its divisors is an integer number (6650641655910).

Almost surely, 2101012111122002 is an apocalyptic number.

101012111122002 is an abundant number, since it is smaller than the sum of its proper divisors (111808421867118).

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

101012111122002 is a wasteful number, since it uses less digits than its factorization.

101012111122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681070618.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012111122002 its reverse (200221111210101), we get a palindrome (301233222332103).

The spelling of 101012111122002 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 19 38 57 114 1301 2602 3903 7806 24719 49438 74157 148314 681069293 1362138586 2043207879 4086415758 12940316567 25880633134 38820949701 77641899402 886071150193 1772142300386 2658213450579 5316426901158 16835351853667 33670703707334 50506055561001 101012111122002