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21000101112 = 2332715038167
BaseRepresentation
bin10011100011101101…
…000001110011111000
32000012112101200001200
4103203231001303320
5321002011213422
613351453014200
71342254625404
oct234355016370
960175350050
1021000101112
1189a7011871
1240a0a84360
131c9894bb43
14103305c104
1582d96c2ac
hex4e3b41cf8

21000101112 has 96 divisors (see below), whose sum is σ = 57798074880. Its totient is φ = 6886877760.

The previous prime is 21000101107. The next prime is 21000101141. The reversal of 21000101112 is 21110100012.

Adding to 21000101112 its reverse (21110100012), we get a palindrome (42110201124).

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 21000101094 and 21000101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2567253 + ... + 2575419.

It is an arithmetic number, because the mean of its divisors is an integer number (602063280).

Almost surely, 221000101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28899037440).

21000101112 is an abundant number, since it is smaller than the sum of its proper divisors (36797973768).

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

21000101112 is a wasteful number, since it uses less digits than its factorization.

21000101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8753 (or 8746 counting only the distinct ones).

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

The spelling of 21000101112 in words is "twenty-one billion, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 503 568 639 852 1006 1278 1509 1704 2012 2556 3018 4024 4527 5112 6036 8167 9054 12072 16334 18108 24501 32668 35713 36216 49002 65336 71426 73503 98004 107139 142852 147006 196008 214278 285704 294012 321417 428556 579857 588024 642834 857112 1159714 1285668 1739571 2319428 2571336 3479142 4108001 4638856 5218713 6958284 8216002 10437426 12324003 13916568 16432004 20874852 24648006 32864008 36972009 41749704 49296012 73944018 98592024 147888036 291668071 295776072 583336142 875004213 1166672284 1750008426 2333344568 2625012639 3500016852 5250025278 7000033704 10500050556 21000101112