Search a number
-
+
10120210000110 = 2325734946028153
BaseRepresentation
bin1001001101000100101110…
…0001011010100011101110
31022211111000211112222022200
42103101023201122203232
52311302142230000420
633305054342322330
72063106144444030
oct223211341324356
938744024488280
1010120210000110
113251a58791351
121175445a293a6
135854409bb7c2
1426db6c2dbc50
151283b357ab90
hex9344b85a8ee

10120210000110 has 96 divisors (see below), whose sum is σ = 30157646500800. Its totient is φ = 2306562753024.

The previous prime is 10120210000091. The next prime is 10120210000133. The reversal of 10120210000110 is 1100001202101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10120210000092 and 10120210000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22794207 + ... + 23233946.

It is an arithmetic number, because the mean of its divisors is an integer number (314142151050).

Almost surely, 210120210000110 is an apocalyptic number.

10120210000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120210000110 is an abundant number, since it is smaller than the sum of its proper divisors (20037436500690).

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

10120210000110 is a wasteful number, since it uses less digits than its factorization.

10120210000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46028522 (or 46028519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120210000110 its reverse (1100001202101), we get a palindrome (11220211202211).

The spelling of 10120210000110 in words is "ten trillion, one hundred twenty billion, two hundred ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 349 630 698 1047 1745 2094 2443 3141 3490 4886 5235 6282 7329 10470 12215 14658 15705 21987 24430 31410 36645 43974 73290 109935 219870 46028153 92056306 138084459 230140765 276168918 322197071 414253377 460281530 644394142 690422295 828506754 966591213 1380844590 1610985355 1933182426 2071266885 2899773639 3221970710 4142533770 4832956065 5799547278 9665912130 14498868195 16063825397 28997736390 32127650794 48191476191 80319126985 96382952382 112446777779 144574428573 160638253970 224893555558 240957380955 289148857146 337340333337 481914761910 562233888895 674680666674 722872142865 1012021000011 1124467777790 1445744285730 1686701666685 2024042000022 3373403333370 5060105000055 10120210000110