| Base | Representation |
|---|---|
| bin | 10110111111100011100011… |
| … | …111100001001010110100000 |
| 3 | 111021001102002122211101210222 |
| 4 | 112333203203330021112200 |
| 5 | 101223311021224241000 |
| 6 | 555023545241342212 |
| 7 | 30205002141214535 |
| oct | 2677434374112640 |
| 9 | 437042078741728 |
| 10 | 101124534212000 |
| 11 | 2a248746284832 |
| 12 | b412741a97968 |
| 13 | 4457005ac0810 |
| 14 | 1ad864c854d8c |
| 15 | ba57340d6a85 |
| hex | 5bf8e3f095a0 |
101124534212000 has 384 divisors, whose sum is σ = 270428040058176. Its totient is φ = 36940800000000.
The previous prime is 101124534211979. The next prime is 101124534212021. The reversal of 101124534212000 is 212435421101.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (101124534211979) and next prime (101124534212021).
It can be written as a sum of positive squares in 32 ways, for example, as 60146663463184 + 40977870748816 = 7755428^2 + 6401396^2 .
It is a super-4 number, since 4×1011245342120004 (a number of 57 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7778205500 + ... + 7778218500.
Almost surely, 2101124534212000 is an apocalyptic number.
101124534212000 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 101124534212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135214020029088).
101124534212000 is an abundant number, since it is smaller than the sum of its proper divisors (169303505846176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101124534212000 is a wasteful number, since it uses less digits than its factorization.
101124534212000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14621 (or 14603 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 26.
Adding to 101124534212000 its reverse (212435421101), we get a palindrome (101336969633101).
The spelling of 101124534212000 in words is "one hundred one trillion, one hundred twenty-four billion, five hundred thirty-four million, two hundred twelve thousand".
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