Search a number
-
+
1101213001312 = 25237169130497
BaseRepresentation
bin10000000001100101011…
…010001110011001100000
310220021102102112121201021
4100001211122032121200
5121020241012020222
62201520144215224
7142363041032344
oct20014532163140
93807372477637
101101213001312
11395027037916
1215950a00a514
137cac81a2428
143b42861d624
151d9a2208ac7
hex1006568e660

1101213001312 has 96 divisors (see below), whose sum is σ = 2297532916224. Its totient is φ = 518480793600.

The previous prime is 1101213001309. The next prime is 1101213001321. The reversal of 1101213001312 is 2131003121011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36093648 + ... + 36124144.

It is an arithmetic number, because the mean of its divisors is an integer number (23932634544).

Almost surely, 21101213001312 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 1101213001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148766458112).

1101213001312 is an abundant number, since it is smaller than the sum of its proper divisors (1196319914912).

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

1101213001312 is a wasteful number, since it uses less digits than its factorization.

1101213001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31292 (or 31284 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1101213001312 its reverse (2131003121011), we get a palindrome (3232216122323).

The spelling of 1101213001312 in words is "one trillion, one hundred one billion, two hundred thirteen million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 691 736 1136 1382 1633 2272 2764 3266 5528 6532 11056 13064 15893 22112 26128 30497 31786 49061 52256 60994 63572 98122 121988 127144 196244 243976 254288 392488 487952 508576 701431 784976 975904 1128403 1402862 1569952 2165287 2256806 2805724 4330574 4513612 5611448 8661148 9027224 11222896 17322296 18054448 21073427 22445792 34644592 36108896 42146854 49801601 69289184 84293708 99603202 168587416 199206404 337174832 398412808 484688821 674349664 796825616 969377642 1496213317 1593651232 1938755284 2992426634 3877510568 5984853268 7755021136 11969706536 15510042272 23939413072 34412906291 47878826144 68825812582 137651625164 275303250328 550606500656 1101213001312