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103300313311200 = 2535261705603233
BaseRepresentation
bin10111011111001101111010…
…011110101110011111100000
3111112202102011110001200122110
4113133031322132232133200
5102014433020201424300
61003411301522435320
730521126030341515
oct2737157236563740
9445672143050573
10103300313311200
112aa07464915525
12b704361b02b40
134584240683295
141b71a946c730c
15be2128e60550
hex5df37a7ae7e0

103300313311200 has 144 divisors (see below), whose sum is σ = 341754692768496. Its totient is φ = 27095164108800.

The previous prime is 103300313311193. The next prime is 103300313311241. The reversal of 103300313311200 is 2113313003301.

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, 352655217 + ... + 352948016.

It is an arithmetic number, because the mean of its divisors is an integer number (2373296477559).

Almost surely, 2103300313311200 is an apocalyptic number.

103300313311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300313311200 is an abundant number, since it is smaller than the sum of its proper divisors (238454379457296).

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

103300313311200 is a wasteful number, since it uses less digits than its factorization.

103300313311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705603317 (or 705603304 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103300313311200 its reverse (2113313003301), we get a palindrome (105413626314501).

The spelling of 103300313311200 in words is "one hundred three trillion, three hundred billion, three hundred thirteen million, three hundred 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 61 75 80 96 100 120 122 150 160 183 200 240 244 300 305 366 400 480 488 600 610 732 800 915 976 1200 1220 1464 1525 1830 1952 2400 2440 2928 3050 3660 4575 4880 5856 6100 7320 9150 9760 12200 14640 18300 24400 29280 36600 48800 73200 146400 705603233 1411206466 2116809699 2822412932 3528016165 4233619398 5644825864 7056032330 8467238796 10584048495 11289651728 14112064660 16934477592 17640080825 21168096990 22579303456 28224129320 33868955184 35280161650 42336193980 43041797213 52920242475 56448258640 67737910368 70560323300 84672387960 86083594426 105840484950 112896517280 129125391639 141120646600 169344775920 172167188852 211680969900 215208986065 258250783278 282241293200 338689551840 344334377704 423361939800 430417972130 516501566556 564482586400 645626958195 688668755408 846723879600 860835944260 1033003133112 1076044930325 1291253916390 1377337510816 1693447759200 1721671888520 2066006266224 2152089860650 2582507832780 3228134790975 3443343777040 4132012532448 4304179721300 5165015665560 6456269581950 6886687554080 8608359442600 10330031331120 12912539163900 17216718885200 20660062662240 25825078327800 34433437770400 51650156655600 103300313311200