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145013153211 = 321729149401547
BaseRepresentation
bin1000011100001101110…
…1010001110110111011
3111212022012211110010100
42013003131101312323
54333441331400321
6150341303050443
713322363315223
oct2070335216673
9455265743110
10145013153211
1156555165373
1224130740a23
13108a0377744
147039355083
153b8adc5326
hex21c3751dbb

145013153211 has 96 divisors (see below), whose sum is σ = 231971688000. Its totient is φ = 86884761600.

The previous prime is 145013153191. The next prime is 145013153213. The reversal of 145013153211 is 112351310541.

145013153211 is a `hidden beast` number, since 1 + 4 + 501 + 3 + 153 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 145013153211 - 25 = 145013153179 is a prime.

It is a super-2 number, since 2×1450131532112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145013153213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265106040 + ... + 265106586.

It is an arithmetic number, because the mean of its divisors is an integer number (2416371750).

Almost surely, 2145013153211 is an apocalyptic number.

145013153211 is a deficient number, since it is larger than the sum of its proper divisors (86958534789).

145013153211 is a wasteful number, since it uses less digits than its factorization.

145013153211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 145013153211 its reverse (112351310541), we get a palindrome (257364463752).

The spelling of 145013153211 in words is "one hundred forty-five billion, thirteen million, one hundred fifty-three thousand, two hundred eleven".

Divisors: 1 3 9 17 29 51 87 149 153 261 401 447 493 547 1203 1341 1479 1641 2533 3609 4321 4437 4923 6817 7599 9299 11629 12963 15863 20451 22797 27897 34887 38889 47589 59749 61353 73457 81503 83691 104661 142767 179247 197693 219347 220371 244509 269671 537741 593079 658041 661113 733527 809013 1015733 1385551 1732721 1779237 1974123 2363587 2427039 3047199 3728899 4156653 5198163 6361063 7090761 9141597 11186697 12469959 15594489 19083189 21272283 29456257 32682703 33560091 40180979 57249567 88368771 98048109 108138071 120542937 265106313 294144327 324414213 361628811 555605951 947798387 973242639 1666817853 2843395161 5000453559 8530185483 16112572579 48337717737 145013153211