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100603213230 = 235134319993001
BaseRepresentation
bin101110110110001101…
…0110011010110101110
3100121200012200202020110
41131230122303112232
53122013410310410
6114114432000450
710161020126442
oct1355432632656
9317605622213
10100603213230
1139735989133
12175b7990126
139643791a50
144c25202822
15293c18e720
hex176c6b35ae

100603213230 has 128 divisors (see below), whose sum is σ = 266289408000. Its totient is φ = 24167808000.

The previous prime is 100603213229. The next prime is 100603213237. The reversal of 100603213230 is 32312306001.

It is a junction number, because it is equal to n+sod(n) for n = 100603213197 and 100603213206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100603213237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33521730 + ... + 33524730.

It is an arithmetic number, because the mean of its divisors is an integer number (2080386000).

Almost surely, 2100603213230 is an apocalyptic number.

100603213230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100603213230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133144704000).

100603213230 is an abundant number, since it is smaller than the sum of its proper divisors (165686194770).

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

100603213230 is a wasteful number, since it uses less digits than its factorization.

100603213230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100603213230 its reverse (32312306001), we get a palindrome (132915519231).

The spelling of 100603213230 in words is "one hundred billion, six hundred three million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1290 1677 1999 2795 3001 3354 3998 5590 5997 6002 8385 9003 9995 11994 15005 16770 18006 19990 25987 29985 30010 39013 45015 51974 59970 77961 78026 85957 90030 117039 129043 129935 155922 171914 195065 234078 257871 258086 259870 387129 389805 390130 429785 515742 585195 645215 774258 779610 859570 1117441 1170390 1289355 1290430 1677559 1935645 2234882 2578710 3352323 3355118 3871290 5032677 5587205 5998999 6704646 8387795 10065354 11174410 11997998 16761615 16775590 17996997 25163385 29994995 33523230 35993994 50326770 59989990 77986987 89984985 155973974 179969970 233960961 257956957 389934935 467921922 515913914 773870871 779869870 1169804805 1289784785 1547741742 2339609610 2579569570 3353440441 3869354355 6706880882 7738708710 10060321323 16767202205 20120642646 33534404410 50301606615 100603213230