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200103213120 = 26351637127331
BaseRepresentation
bin1011101001011100010…
…1001011100001000000
3201010111112111110021120
42322113011023201000
511234302410304440
6231532014152240
720312513150616
oct2722705134100
9633445443246
10200103213120
11779550577a8
12329461b2680
1315b3c819325
149983aab6b6
155312560dd0
hex2e9714b840

200103213120 has 112 divisors (see below), whose sum is σ = 635720799168. Its totient is φ = 53327841280.

The previous prime is 200103213103. The next prime is 200103213133. The reversal of 200103213120 is 21312301002.

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 200103213120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507855 + ... + 1635185.

It is an arithmetic number, because the mean of its divisors is an integer number (5676078564).

Almost surely, 2200103213120 is an apocalyptic number.

200103213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200103213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317860399584).

200103213120 is an abundant number, since it is smaller than the sum of its proper divisors (435617586048).

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

200103213120 is a wasteful number, since it uses less digits than its factorization.

200103213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128988 (or 128978 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 200103213120 its reverse (21312301002), we get a palindrome (221415514122).

The spelling of 200103213120 in words is "two hundred billion, one hundred three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1637 3274 4911 6548 8185 9822 13096 16370 19644 24555 26192 32740 39288 49110 52384 65480 78576 98220 104768 127331 130960 157152 196440 254662 261920 314304 381993 392880 509324 523840 636655 763986 785760 1018648 1273310 1527972 1571520 1909965 2037296 2546620 3055944 3819930 4074592 5093240 6111888 7639860 8149184 10186480 12223776 15279720 20372960 24447552 30559440 40745920 61118880 122237760 208440847 416881694 625322541 833763388 1042204235 1250645082 1667526776 2084408470 2501290164 3126612705 3335053552 4168816940 5002580328 6253225410 6670107104 8337633880 10005160656 12506450820 13340214208 16675267760 20010321312 25012901640 33350535520 40020642624 50025803280 66701071040 100051606560 200103213120