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105235201428 = 223721913077207
BaseRepresentation
bin110001000000010000…
…0011011110110010100
3101001122000121010111220
41202000200123312110
53211010202421203
6120202215330340
710413553311300
oct1420040336624
9331560533456
10105235201428
11406a2589455
121848b0809b0
139c012cbc76
145144468d00
152b0db50653
hex188081bd94

105235201428 has 144 divisors (see below), whose sum is σ = 300943802880. Its totient is φ = 28458972864.

The previous prime is 105235201411. The next prime is 105235201451. The reversal of 105235201428 is 824102532501.

It is a super-2 number, since 2×1052352014282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 14598201 + ... + 14605407.

It is an arithmetic number, because the mean of its divisors is an integer number (2089887520).

Almost surely, 2105235201428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105235201428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150471901440).

105235201428 is an abundant number, since it is smaller than the sum of its proper divisors (195708601452).

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

105235201428 is a wasteful number, since it uses less digits than its factorization.

105235201428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 105235201428 its reverse (824102532501), we get a palindrome (929337733929).

The spelling of 105235201428 in words is "one hundred five billion, two hundred thirty-five million, two hundred one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1307 1596 1862 2614 2793 3724 3921 5228 5586 7207 7842 9149 11172 14414 15684 18298 21621 24833 27447 28828 36596 43242 49666 50449 54894 64043 74499 86484 99332 100898 109788 128086 136933 148998 151347 173831 192129 201796 256172 273866 297996 302694 347662 353143 384258 410799 521493 547732 605388 695324 706286 768516 821598 958531 1042986 1059429 1216817 1412572 1643196 1917062 2085972 2118858 2433634 2875593 3650451 3834124 4237716 4867268 5751186 6709717 7300902 9419549 11502372 13419434 14601804 18839098 20129151 26838868 28258647 37678196 40258302 56517294 65936843 80516604 113034588 131873686 178971431 197810529 263747372 357942862 395621058 461557901 536914293 715885724 791242116 923115802 1073828586 1252800017 1384673703 1846231604 2147657172 2505600034 2769347406 3758400051 5011200068 5538694812 7516800102 8769600119 15033600204 17539200238 26308800357 35078400476 52617600714 105235201428