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1020102200110 = 257234744330431
BaseRepresentation
bin11101101100000101101…
…01000100101100101110
310121112001200020222221001
432312002311010230232
5113203132130400420
62100343430230514
7133462040430310
oct16660265045456
93545050228831
101020102200110
11363694109414
121458521b543a
137526cba74c6
14375321337b0
151b80646db0a
hexed82d44b2e

1020102200110 has 128 divisors (see below), whose sum is σ = 2241446805504. Its totient is φ = 326675057280.

The previous prime is 1020102200071. The next prime is 1020102200153. The reversal of 1020102200110 is 110022010201.

1020102200110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 33506595 + ... + 33537025.

It is an arithmetic number, because the mean of its divisors is an integer number (17511303168).

Almost surely, 21020102200110 is an apocalyptic number.

1020102200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020102200110 is an abundant number, since it is smaller than the sum of its proper divisors (1221344605394).

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

1020102200110 is a wasteful number, since it uses less digits than its factorization.

1020102200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30958.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020102200110 its reverse (110022010201), we get a palindrome (1130124210311).

The spelling of 1020102200110 in words is "one trillion, twenty billion, one hundred two million, two hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 47 70 94 115 161 230 235 322 329 443 470 658 805 886 1081 1610 1645 2162 2215 3101 3290 4430 5405 6202 7567 10189 10810 15134 15505 20378 20821 30431 31010 37835 41642 50945 60862 71323 75670 101890 104105 142646 145747 152155 208210 213017 291494 304310 356615 426034 478883 699913 713230 728735 957766 1065085 1399826 1430257 1457470 2130170 2394415 2860514 3352181 3499565 4788830 4899391 6704362 6999130 7151285 9798782 10011799 13480933 14302570 16760905 20023598 24496955 26961866 32895911 33521810 48993910 50058995 65791822 67404665 94366531 100117990 134809330 164479555 188733062 230271377 310061459 328959110 460542754 471832655 620122918 633603851 943665310 1151356885 1267207702 1550307295 2170430213 2302713770 3100614590 3168019255 4340860426 4435226957 6336038510 8870453914 10852151065 14572888573 21704302130 22176134785 29145777146 44352269570 72864442865 102010220011 145728885730 204020440022 510051100055 1020102200110