| Base | Representation |
|---|---|
| bin | 10110111110000011001010… |
| … | …001001001100110010000000 |
| 3 | 111020200111220201201221011120 |
| 4 | 112332003022021030302000 |
| 5 | 101220112023141224300 |
| 6 | 554504230020112240 |
| 7 | 30164346050554620 |
| oct | 2676031211146200 |
| 9 | 436614821657146 |
| 10 | 101021022211200 |
| 11 | 2a208858475533 |
| 12 | b3b6673b35680 |
| 13 | 444a31a8022c0 |
| 14 | 1ad362d1d0880 |
| 15 | ba2bc68be3a0 |
| hex | 5be0ca24cc80 |
101021022211200 has 768 divisors, whose sum is σ = 420592024554240. Its totient is φ = 20738256076800.
The previous prime is 101021022211139. The next prime is 101021022211229. The reversal of 101021022211200 is 2112220120101.
It is a super-3 number, since 3×1010210222112003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 101021022211200.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30760530 + ... + 33885870.
It is an arithmetic number, because the mean of its divisors is an integer number (547645865305).
Almost surely, 2101021022211200 is an apocalyptic number.
101021022211200 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 101021022211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210296012277120).
101021022211200 is an abundant number, since it is smaller than the sum of its proper divisors (319571002343040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101021022211200 is a wasteful number, since it uses less digits than its factorization.
101021022211200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3125425 (or 3125408 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 101021022211200 its reverse (2112220120101), we get a palindrome (103133242331301).
The spelling of 101021022211200 in words is "one hundred one trillion, twenty-one billion, twenty-two million, two hundred eleven thousand, two hundred".
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