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103300203212120 = 235233733110313709
BaseRepresentation
bin10111011111001101110011…
…111010101110110101011000
3111112202101212202220002002202
4113133031303322232311120
5102014432304010241440
61003411242550545332
730521123222455115
oct2737156372566530
9445671782802082
10103300203212120
112aa07408756452
12b704331068248
134584223914ab5
141b71a83c2790c
15be211e463615
hex5df373eaed58

103300203212120 has 128 divisors (see below), whose sum is σ = 233970420153600. Its totient is φ = 41046368415744.

The previous prime is 103300203212093. The next prime is 103300203212123. The reversal of 103300203212120 is 21212302003301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103300203212092 and 103300203212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103300203212123) 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, 7535203826 + ... + 7535217534.

It is an arithmetic number, because the mean of its divisors is an integer number (1827893907450).

Almost surely, 2103300203212120 is an apocalyptic number.

103300203212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300203212120 is an abundant number, since it is smaller than the sum of its proper divisors (130670216941480).

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

103300203212120 is a wasteful number, since it uses less digits than its factorization.

103300203212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15789 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103300203212120 its reverse (21212302003301), we get a palindrome (124512505215421).

The spelling of 103300203212120 in words is "one hundred three trillion, three hundred billion, two hundred three million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 233 466 733 932 1103 1165 1466 1864 2206 2330 2932 3665 4412 4660 5515 5864 7330 8824 9320 11030 13709 14660 22060 27418 29320 44120 54836 68545 109672 137090 170789 256999 274180 341578 513998 548360 683156 808499 853945 1027996 1284995 1366312 1616998 1707890 2055992 2569990 3194197 3233996 3415780 4042495 5139980 6388394 6467992 6831560 8084990 10048697 10279960 12776788 15121027 15970985 16169980 20097394 25553576 30242054 31941970 32339960 40194788 50243485 60484108 63883940 75605135 80389576 100486970 120968216 127767880 151210270 188380267 200973940 302420540 376760534 401947880 604841080 753521068 941901335 1507042136 1883802670 2341346401 3523199291 3767605340 4682692802 7046398582 7535210680 9365385604 11083712791 11706732005 14092797164 17615996455 18730771208 22167425582 23413464010 28185594328 35231992910 44334851164 46826928020 55418563955 70463985820 88669702328 93653856040 110837127910 140927971640 221674255820 443348511640 2582505080303 5165010160606 10330020321212 12912525401515 20660040642424 25825050803030 51650101606060 103300203212120