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13023212202000 = 243253711131724161
BaseRepresentation
bin1011110110000011001111…
…1011111110100000010000
31201010000012001100120021200
42331200303323332200100
53201333014310431000
643410440414351200
72512616224145610
oct275406373764020
951100161316250
1013023212202000
114171127856710
121563b9b4bb500
137361119b47a0
14330480b90a40
15178b6c411500
hexbd833efe810

13023212202000 has 5760 divisors, whose sum is σ = 67547342693376. Its totient is φ = 2256076800000.

The previous prime is 13023212201999. The next prime is 13023212202001. The reversal of 13023212202000 is 20221232031.

13023212202000 is a `hidden beast` number, since 1 + 302 + 321 + 2 + 20 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13023212201999) and next prime (13023212202001).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (13023212202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 213495281970 + ... + 213495282030.

Almost surely, 213023212202000 is an apocalyptic number.

13023212202000 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 13023212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33773671346688).

13023212202000 is an abundant number, since it is smaller than the sum of its proper divisors (54524130491376).

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

13023212202000 is a wasteful number, since it uses less digits than its factorization.

13023212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13023212202000 its reverse (20221232031), we get a palindrome (13043433434031).

The spelling of 13023212202000 in words is "thirteen trillion, twenty-three billion, two hundred twelve million, two hundred two thousand".