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101211000000 = 26356113067
BaseRepresentation
bin101111001000010100…
…1010100110011000000
3100200020120100111221120
41132100221110303000
53124240004000000
6114255022552240
710212050206515
oct1362051246300
9320216314846
10101211000000
1139a17a75350
1217747438680
13970c6859a6
144c81c1530c
1529756e96a0
hex1790a54cc0

101211000000 has 392 divisors, whose sum is σ = 365279074368. Its totient is φ = 24528000000.

The previous prime is 101210999993. The next prime is 101211000013. The reversal of 101211000000 is 112101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32998467 + ... + 33001533.

Almost surely, 2101211000000 is an apocalyptic number.

101211000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182639537184).

101211000000 is an abundant number, since it is smaller than the sum of its proper divisors (264068074368).

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

101211000000 is an frugal number, since it uses more digits than its factorization.

101211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101211000000 its reverse (112101), we get a palindrome (101211112101).

The spelling of 101211000000 in words is "one hundred one billion, two hundred eleven million", and thus it is an aban number.