Search a number
-
+
10210112011200 = 263522127106669
BaseRepresentation
bin1001010010010011101000…
…0110010111101111000000
31100011002002021001022221010
42110210322012113233000
52314240302133324300
633414243302400520
72102441044102443
oct224447206275700
940132067038833
1010210112011200
1132870a2064972
12118a955a30140
13590a6a42277a
1427425a1ad65a
1512a8c5eeda50
hex9493a197bc0

10210112011200 has 84 divisors (see below), whose sum is σ = 33497675839160. Its totient is φ = 2722696535040.

The previous prime is 10210112011193. The next prime is 10210112011207. The reversal of 10210112011200 is 211021101201.

It is an interprime number because it is at equal distance from previous prime (10210112011193) and next prime (10210112011207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210112011207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063548535 + ... + 1063558134.

Almost surely, 210210112011200 is an apocalyptic number.

10210112011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210112011200 is an abundant number, since it is smaller than the sum of its proper divisors (23287563827960).

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

10210112011200 is a wasteful number, since it uses less digits than its factorization.

10210112011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127106694 (or 2127106679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210112011200 its reverse (211021101201), we get a palindrome (10421133112401).

Subtracting from 10210112011200 its reverse (211021101201), we obtain a palindrome (9999090909999).

The spelling of 10210112011200 in words is "ten trillion, two hundred ten billion, one hundred twelve million, eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2127106669 4254213338 6381320007 8508426676 10635533345 12762640014 17016853352 21271066690 25525280028 31906600035 34033706704 42542133380 51050560056 53177666725 63813200070 68067413408 85084266760 102101120112 106355333450 127626400140 136134826816 159533000175 170168533520 204202240224 212710666900 255252800280 319066000350 340337067040 408404480448 425421333800 510505600560 638132000700 680674134080 850842667600 1021011201120 1276264001400 1701685335200 2042022402240 2552528002800 3403370670400 5105056005600 10210112011200