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1034224000215 = 357174197145687
BaseRepresentation
bin11110000110011001000…
…11011101110011010111
310122212111211220202211120
433003030203131303113
5113421042321001330
62111041013335023
7134502014645220
oct17031443356327
93585454822746
101034224000215
1136968053889a
12148533637473
13766b07c0743
14380b1874247
151bd81110c10
hexf0cc8ddcd7

1034224000215 has 128 divisors (see below), whose sum is σ = 2072396648448. Its totient is φ = 429645496320.

The previous prime is 1034224000163. The next prime is 1034224000219. The reversal of 1034224000215 is 5120004224301.

It is not a de Polignac number, because 1034224000215 - 28 = 1034223999959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034224000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7026102 + ... + 7171788.

It is an arithmetic number, because the mean of its divisors is an integer number (16190598816).

Almost surely, 21034224000215 is an apocalyptic number.

1034224000215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1034224000215 is an abundant number, since it is smaller than the sum of its proper divisors (1038172648233).

1034224000215 is a wasteful number, since it uses less digits than its factorization.

1034224000215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145857.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1034224000215 its reverse (5120004224301), we get a palindrome (6154228224516).

The spelling of 1034224000215 in words is "one trillion, thirty-four billion, two hundred twenty-four million, two hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 7 15 17 21 35 41 51 85 97 105 119 123 205 255 287 291 357 485 595 615 679 697 861 1435 1455 1649 1785 2037 2091 3395 3485 3977 4305 4879 4947 8245 10185 10455 11543 11931 14637 19885 24395 24735 27839 34629 57715 59655 67609 73185 83517 139195 145687 173145 202827 338045 417585 437061 473263 728435 1014135 1019809 1419789 2185305 2366315 2476679 3059427 5099045 5973167 7098945 7430037 12383395 14131639 15297135 17336753 17919501 29865835 37150185 41812169 42394917 52010259 70658195 86683765 89597505 98921473 101543839 125436507 209060845 211974585 240237863 260051295 296764419 304631517 494607365 507719195 579397199 627182535 710806873 720713589 1201189315 1483822095 1523157585 1681665041 1738191597 2132420619 2896985995 3554034365 3603567945 4055780393 5044995123 8408325205 8690957985 9849752383 10662103095 12167341179 20278901965 25224975615 29549257149 49248761915 60836705895 68948266681 147746285745 206844800043 344741333405 1034224000215