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103313222013300 = 2235213191394240513
BaseRepresentation
bin10111011111011001111011…
…111001100001000101110100
3111112210122111002001200221020
4113133121323321201011310
5102020140434313411200
61003421234453021140
730522063644446515
oct2737317371410564
9445718432050836
10103313222013300
112aa11989502472
12b7069650247b0
134585519b6a350
141b7255ac88a0c
15be263237aea0
hex5df67be61174

103313222013300 has 144 divisors (see below), whose sum is σ = 338856214522560. Its totient is φ = 24092476047360.

The previous prime is 103313222013289. The next prime is 103313222013301. The reversal of 103313222013300 is 3310222313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313222013301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697046157 + ... + 697194356.

Almost surely, 2103313222013300 is an apocalyptic number.

103313222013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313222013300 is an abundant number, since it is smaller than the sum of its proper divisors (235542992509260).

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

103313222013300 is a wasteful number, since it uses less digits than its factorization.

103313222013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394240562 (or 1394240555 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103313222013300 its reverse (3310222313301), we get a palindrome (106623444326601).

The spelling of 103313222013300 in words is "one hundred three trillion, three hundred thirteen billion, two hundred twenty-two million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 1394240513 2788481026 4182721539 5576962052 6971202565 8365443078 13942405130 16730886156 18125126669 20913607695 26490569747 27884810260 34856012825 36250253338 41827215390 52981139494 54375380007 69712025650 72500506676 79471709241 83654430780 90625633345 104568038475 105962278988 108750760014 132452848735 139424051300 158943418482 181251266690 209136076950 217501520028 264905697470 271876900035 317886836964 344377406711 362502533380 397358546205 418272153900 453128166725 529811394940 543753800070 662264243675 688754813422 794717092410 906256333450 1033132220133 1087507600140 1324528487350 1359384500175 1377509626844 1589434184820 1721887033555 1812512666900 1986792731025 2066264440266 2649056974700 2718769000350 3443774067110 3973585462050 4132528880532 5165661100665 5437538000700 6887548134220 7947170924100 8609435167775 10331322201330 17218870335550 20662644402660 25828305503325 34437740671100 51656611006650 103313222013300