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203122211130 = 232537131465631
BaseRepresentation
bin1011110100101100000…
…1101111100100111010
3201102021221021102222200
42331023001233210322
511311443241224010
6233151341531030
720450362210236
oct2751301574472
9642257242880
10203122211130
1179164213683
1233449273a76
1316201122b97
149b8ca1b5c6
15543c608cc0
hex2f4b06f93a

203122211130 has 96 divisors (see below), whose sum is σ = 546532766208. Its totient is φ = 52299561600.

The previous prime is 203122211113. The next prime is 203122211143. The reversal of 203122211130 is 31112221302.

203122211130 is a `hidden beast` number, since 2 + 0 + 312 + 221 + 1 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203415 + ... + 669045.

It is an arithmetic number, because the mean of its divisors is an integer number (5693049648).

Almost surely, 2203122211130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203122211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273266383104).

203122211130 is an abundant number, since it is smaller than the sum of its proper divisors (343410555078).

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

203122211130 is a wasteful number, since it uses less digits than its factorization.

203122211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465812 (or 465809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203122211130 its reverse (31112221302), we get a palindrome (234234432432).

The spelling of 203122211130 in words is "two hundred three billion, one hundred twenty-two million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 131 185 222 262 333 370 393 555 655 666 786 1110 1179 1310 1665 1965 2358 3330 3930 4847 5895 9694 11790 14541 24235 29082 43623 48470 72705 87246 145410 218115 436230 465631 931262 1396893 2328155 2793786 4190679 4656310 6984465 8381358 13968930 17228347 20953395 34456694 41906790 51685041 60997661 86141735 103370082 121995322 155055123 172283470 182992983 258425205 304988305 310110246 365985966 516850410 548978949 609976610 775275615 914964915 1097957898 1550551230 1829929830 2256913457 2744894745 4513826914 5489789490 6770740371 11284567285 13541480742 20312221113 22569134570 33853701855 40624442226 67707403710 101561105565 203122211130