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10110010000112 = 24117910129324571
BaseRepresentation
bin1001001100011110101110…
…0011100000001011110000
31022210111200222110021202222
42103013223203200023300
52311120300030000422
633300250253100212
72062265321044511
oct223075343401360
938714628407688
1010110010000112
1132486a4094390
121173479a87668
135844a6747049
1426d481796a08
15127eb7d63842
hex931eb8e02f0

10110010000112 has 160 divisors (see below), whose sum is σ = 21929106447360. Its totient is φ = 4476850560000.

The previous prime is 10110010000099. The next prime is 10110010000151. The reversal of 10110010000112 is 21100001001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10110010000112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411448787 + ... + 411473357.

It is an arithmetic number, because the mean of its divisors is an integer number (137056915296).

Almost surely, 210110010000112 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 10110010000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964553223680).

10110010000112 is an abundant number, since it is smaller than the sum of its proper divisors (11819096447248).

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

10110010000112 is a wasteful number, since it uses less digits than its factorization.

10110010000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25063 (or 25057 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10110010000112 its reverse (21100001001101), we get a palindrome (31210011001213).

The spelling of 10110010000112 in words is "ten trillion, one hundred ten billion, ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 79 88 101 158 176 202 293 316 404 586 632 808 869 1111 1172 1264 1616 1738 2222 2344 3223 3476 4444 4688 6446 6952 7979 8888 12892 13904 15958 17776 23147 24571 25784 29593 31916 46294 49142 51568 59186 63832 87769 92588 98284 118372 127664 175538 185176 196568 236744 254617 270281 325523 351076 370352 393136 473488 509234 540562 651046 702152 1018468 1081124 1302092 1404304 1941109 2036936 2162248 2337847 2481671 2604184 3882218 4073872 4324496 4675694 4963342 5208368 7199303 7764436 9351388 9926684 14398606 15528872 18702776 19853368 21352199 25716317 27298381 28797212 31057744 37405552 39706736 42704398 51432634 54596762 57594424 79192333 85408796 102865268 109193524 115188848 158384666 170817592 196052009 205730536 218387048 316769332 341635184 392104018 411461072 436774096 568744937 633538664 727129603 784208036 1137489874 1267077328 1454259206 1568416072 2156572099 2274979748 2908518412 3136832144 4313144198 4549959496 5817036824 6256194307 7998425633 8626288396 9099918992 11634073648 12512388614 15996851266 17252576792 25024777228 31993702532 34505153584 50049554456 57443238637 63987405064 100099108912 114886477274 127974810128 229772954548 459545909096 631875625007 919091818192 1263751250014 2527502500028 5055005000056 10110010000112