Search a number
-
+
13203222103120 = 2457191498328217
BaseRepresentation
bin1100000000100001110101…
…0111010000010001010000
31201202012211020202000022111
43000020131113100101100
53212310144324244440
644025250531315104
72531621103104140
oct300103527202120
951665736660274
1013203222103120
114230500740735
121592a5844ba94
1374a09b6b488a
1433907a006920
1517d6a59234ea
hexc021d5d0450

13203222103120 has 160 divisors (see below), whose sum is σ = 37177165152000. Its totient is φ = 4259782545408.

The previous prime is 13203222103117. The next prime is 13203222103129. The reversal of 13203222103120 is 2130122230231.

It is a junction number, because it is equal to n+sod(n) for n = 13203222103091 and 13203222103100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203222103129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2578749 + ... + 5749468.

It is an arithmetic number, because the mean of its divisors is an integer number (232357282200).

Almost surely, 213203222103120 is an apocalyptic number.

13203222103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13203222103120 is an abundant number, since it is smaller than the sum of its proper divisors (23973943048880).

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

13203222103120 is a wasteful number, since it uses less digits than its factorization.

13203222103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328405 (or 8328399 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13203222103120 its reverse (2130122230231), we get a palindrome (15333344333351).

The spelling of 13203222103120 in words is "thirteen trillion, two hundred three billion, two hundred twenty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 149 152 190 266 280 298 304 380 532 560 596 665 745 760 1043 1064 1192 1330 1490 1520 2086 2128 2384 2660 2831 2980 4172 5215 5320 5662 5960 8344 10430 10640 11324 11920 14155 16688 19817 20860 22648 28310 39634 41720 45296 56620 79268 83440 99085 113240 158536 198170 226480 317072 396340 792680 1585360 8328217 16656434 33312868 41641085 58297519 66625736 83282170 116595038 133251472 158236123 166564340 233190076 291487595 316472246 333128680 466380152 582975190 632944492 666257360 791180615 932760304 1107652861 1165950380 1240904333 1265888984 1582361230 2215305722 2331900760 2481808666 2531777968 3164722460 4430611444 4663801520 4963617332 5538264305 6204521665 6329444920 8686330331 8861222888 9927234664 11076528610 12409043330 12658889840 17372660662 17722445776 19854469328 22153057220 23577182327 24818086660 34745321324 43431651655 44306114440 47154364654 49636173320 69490642648 86863303310 88612228880 94308729308 99272346640 117885911635 138981285296 165040276289 173726606620 188617458616 235771823270 330080552578 347453213240 377234917232 471543646540 660161105156 694906426480 825201381445 943087293080 1320322210312 1650402762890 1886174586160 2640644420624 3300805525780 6601611051560 13203222103120