Search a number
-
+
10203220022100 = 22352737131315573
BaseRepresentation
bin1001010001111001111101…
…0011100001001101010100
31100010102021221120000020120
42110132133103201031110
52314132143311201400
633411143343231540
72102105206131660
oct224363723411524
940112257500216
1010203220022100
113284185783506
1211895518a85b0
1359020c606701
14273ba4b2b8a0
1512a620e1cca0
hex9479f4e1354

10203220022100 has 144 divisors (see below), whose sum is σ = 34650503142528. Its totient is φ = 2269133084160.

The previous prime is 10203220022087. The next prime is 10203220022111. The reversal of 10203220022100 is 122002230201.

It is a happy number.

10203220022100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10203220022100.

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, 65580087 + ... + 65735486.

Almost surely, 210203220022100 is an apocalyptic number.

10203220022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203220022100 is an abundant number, since it is smaller than the sum of its proper divisors (24447283120428).

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

10203220022100 is a wasteful number, since it uses less digits than its factorization.

10203220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131315634 (or 131315627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10203220022100 its reverse (122002230201), we get a palindrome (10325222252301).

The spelling of 10203220022100 in words is "ten trillion, two hundred three billion, two hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 38850 77700 131315573 262631146 393946719 525262292 656577865 787893438 919209011 1313155730 1575786876 1838418022 1969733595 2626311460 2757627033 3282889325 3676836044 3939467190 4596045055 4858676201 5515254066 6565778650 7878934380 9192090110 9717352402 9848667975 11030508132 13131557300 13788135165 14576028603 18384180220 19434704804 19697335950 22980225275 24293381005 27576270330 29152057206 34010733407 39394671900 45960450550 48586762010 55152540660 58304114412 68021466814 68940675825 72880143015 91920901100 97173524020 102032200221 121466905025 136042933628 137881351650 145760286030 170053667035 204064400442 242933810050 275762703300 291520572060 340107334070 364400715075 408128800884 485867620100 510161001105 680214668140 728801430150 850268335175 1020322002210 1457602860300 1700536670350 2040644004420 2550805005525 3401073340700 5101610011050 10203220022100