Search a number
-
+
10120101002200 = 2352723314288851
BaseRepresentation
bin1001001101000100010100…
…0001100111101111011000
31022211110202020110022022001
42103101011001213233120
52311301431324032300
633305035450210344
72063103352124620
oct223210501475730
938743666408261
1010120101002200
113251a02204632
1211754154239b4
135854242475b7
1426db5ba47880
151283a8bea16a
hex93445067bd8

10120101002200 has 96 divisors (see below), whose sum is σ = 28059708706560. Its totient is φ = 3318890256000.

The previous prime is 10120101002189. The next prime is 10120101002239. The reversal of 10120101002200 is 220010102101.

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 23 ways as a sum of consecutive naturals, for example, 157112226 + ... + 157176625.

It is an arithmetic number, because the mean of its divisors is an integer number (292288632360).

Almost surely, 210120101002200 is an apocalyptic number.

10120101002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120101002200 is an abundant number, since it is smaller than the sum of its proper divisors (17939607704360).

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

10120101002200 is a wasteful number, since it uses less digits than its factorization.

10120101002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314288897 (or 314288888 counting only the distinct ones).

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

Adding to 10120101002200 its reverse (220010102101), we get a palindrome (10340111104301).

Subtracting from 10120101002200 its reverse (220010102101), we obtain a palindrome (9900090900099).

The spelling of 10120101002200 in words is "ten trillion, one hundred twenty billion, one hundred one million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 32200 314288851 628577702 1257155404 1571444255 2200021957 2514310808 3142888510 4400043914 6285777020 7228643573 7857221275 8800087828 11000109785 12571554040 14457287146 15714442550 17600175656 22000219570 28914574292 31428885100 36143217865 44000439140 50600505011 55000548925 57829148584 62857770200 72286435730 88000878280 101201010022 110001097850 144572871460 180716089325 202402020044 220002195700 253002525055 289145742920 361432178650 404804040088 440004391400 506005050110 722864357300 1012010100220 1265012625275 1445728714600 2024020200440 2530025250550 5060050501100 10120101002200