Search a number
-
+
10210021202100 = 22352135431251297
BaseRepresentation
bin1001010010010011010010…
…1011111101100010110100
31100011001211221011202021010
42110210310223331202310
52314240110411431400
633414230300152220
72102435562200046
oct224446453754264
940131757152233
1010210021202100
113287055880725
12118a92b538670
13590a54679485
1427424c0d1a96
1512a8bd062450
hex94934afd8b4

10210021202100 has 72 divisors (see below), whose sum is σ = 29541330358848. Its totient is φ = 2722641382400.

The previous prime is 10210021202099. The next prime is 10210021202123. The reversal of 10210021202100 is 120212001201.

10210021202100 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40503652 + ... + 40754948.

It is an arithmetic number, because the mean of its divisors is an integer number (410296254984).

Almost surely, 210210021202100 is an apocalyptic number.

10210021202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210021202100 is an abundant number, since it is smaller than the sum of its proper divisors (19331309156748).

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

10210021202100 is a wasteful number, since it uses less digits than its factorization.

10210021202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386745 (or 386738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210021202100 its reverse (120212001201), we get a palindrome (10330233203301).

The spelling of 10210021202100 in words is "ten trillion, two hundred ten billion, twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 135431 251297 270862 406293 502594 541724 677155 753891 812586 1005188 1256485 1354310 1507782 1625172 2031465 2512970 2708620 3015564 3385775 3769455 4062930 5025940 6282425 6771550 7538910 8125860 10157325 12564850 13543100 15077820 18847275 20314650 25129700 37694550 40629300 75389100 34033404007 68066808014 102100212021 136133616028 170167020035 204200424042 340334040070 408400848084 510501060105 680668080140 850835100175 1021002120210 1701670200350 2042004240420 2552505300525 3403340400700 5105010601050 10210021202100