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101000200110110 = 257731371125112823
BaseRepresentation
bin10110111101101111110001…
…000011001100000000011110
3111020121112011121021121020022
4112331233301003030000132
5101214241402212010420
6554450503522152142
730163011053614550
oct2675576103140036
9436545147247208
10101000200110110
112a1aaa4298a824
12b3b26227b2652
13444837ca06c22
141ad2615a694d0
15ba23a88b2c25
hex5bdbf10cc01e

101000200110110 has 128 divisors (see below), whose sum is σ = 212190790662144. Its totient is φ = 33899316480000.

The previous prime is 101000200110109. The next prime is 101000200110151. The reversal of 101000200110110 is 11011002000101.

It is a happy number.

It is a super-2 number, since 2×1010002001101102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 7876481159 + ... + 7876493981.

It is an arithmetic number, because the mean of its divisors is an integer number (1657740552048).

Almost surely, 2101000200110110 is an apocalyptic number.

101000200110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000200110110 is an abundant number, since it is smaller than the sum of its proper divisors (111190590552034).

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

101000200110110 is a wasteful number, since it uses less digits than its factorization.

101000200110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24298.

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

Adding to 101000200110110 its reverse (11011002000101), we get a palindrome (112011202110211).

The spelling of 101000200110110 in words is "one hundred one trillion, two hundred million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 73 137 146 274 365 511 685 730 959 1022 1370 1918 2555 4795 5110 9590 10001 11251 12823 20002 22502 25646 50005 56255 64115 70007 78757 89761 100010 112510 128230 140014 157514 179522 350035 393785 448805 700070 787570 821323 897610 936079 1541387 1642646 1756751 1872158 3082774 3513502 4106615 4680395 5749261 6552553 7706935 8213230 8783755 9360790 10789709 11498522 12297257 13105106 15413870 17567510 21579418 24594514 28746305 32762765 53948545 57492610 61486285 65525530 107897090 112521251 122972570 128242823 144271573 225042502 256485646 288543146 562606255 641214115 721357865 787648757 897699761 1009901011 1125212510 1282428230 1442715730 1575297514 1795399522 2019802022 3938243785 4488498805 5049505055 7876487570 8976997610 10099010110 10531824829 19765205501 21063649658 39530411002 52659124145 73722773803 98826027505 105318248290 138356438507 147445547606 197652055010 276712877014 368613869015 691782192535 737227738030 1383564385070 1442860001573 2885720003146 7214300007865 10100020011011 14428600015730 20200040022022 50500100055055 101000200110110