Search a number
-
+
10102023120020 = 2251379491821963
BaseRepresentation
bin1001001100000000111101…
…1111111110010010010100
31022202202002100201202000012
42103000033133332102110
52311002420404320040
633252445542335352
72061563356510016
oct223001737762224
938682070652005
1010102023120020
113245275768137
121171a0b12a558
13583802b488b0
1426cd24b461b6
15127b9baaa865
hex9300f7fe494

10102023120020 has 48 divisors (see below), whose sum is σ = 23135305186560. Its totient is φ = 3682762851456.

The previous prime is 10102023120001. The next prime is 10102023120031. The reversal of 10102023120020 is 2002132020101.

It is a happy number.

10102023120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101020231200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102023119977 and 10102023120004.

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, 245890442 + ... + 245931521.

It is an arithmetic number, because the mean of its divisors is an integer number (481985524720).

Almost surely, 210102023120020 is an apocalyptic number.

10102023120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102023120020 is an abundant number, since it is smaller than the sum of its proper divisors (13033282066540).

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

10102023120020 is a wasteful number, since it uses less digits than its factorization.

10102023120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491822064 (or 491822062 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10102023120020 its reverse (2002132020101), we get a palindrome (12104155140121).

The spelling of 10102023120020 in words is "ten trillion, one hundred two billion, twenty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 4108 5135 10270 20540 491821963 983643926 1967287852 2459109815 4918219630 6393685519 9836439260 12787371038 25574742076 31968427595 38853935077 63936855190 77707870154 127873710380 155415740308 194269675385 388539350770 505101156001 777078701540 1010202312002 2020404624004 2525505780005 5051011560010 10102023120020