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203251611536144 = 24234218863148021
BaseRepresentation
bin101110001101101100110100…
…000110110000101100010000
3222122122122221021101201010122
4232031230310012300230100
5203120033300023124034
62000140300141245412
760545305260326513
oct5615546406605420
9878578837351118
10203251611536144
1159842584a54226
121a967635563868
1389547109c2542
143829605386d7a
151877092d2962e
hexb8db341b0b10

203251611536144 has 80 divisors (see below), whose sum is σ = 411947054367744. Its totient is φ = 96964799500800.

The previous prime is 203251611536093. The next prime is 203251611536147. The reversal of 203251611536144 is 441635116152302.

It is a super-2 number, since 2×2032516115361442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203251611536095 and 203251611536104.

It is not an unprimeable number, because it can be changed into a prime (203251611536147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373052854 + ... + 1373200874.

Almost surely, 2203251611536144 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 203251611536144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205973527183872).

203251611536144 is an abundant number, since it is smaller than the sum of its proper divisors (208695442831600).

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

203251611536144 is a wasteful number, since it uses less digits than its factorization.

203251611536144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157336 (or 157330 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

Adding to 203251611536144 its reverse (441635116152302), we get a palindrome (644886727688446).

The spelling of 203251611536144 in words is "two hundred three trillion, two hundred fifty-one billion, six hundred eleven million, five hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 421 842 1684 3368 6736 8863 9683 17726 19366 35452 38732 70904 77464 141808 148021 154928 203849 296042 407698 592084 815396 1184168 1630792 2368336 3261584 3404483 3731323 6808966 7462646 13617932 14925292 27235864 29850584 54471728 59701168 62316841 85820429 124633682 171640858 249267364 343281716 498534728 686563432 997069456 1311910123 1373126864 1433287343 2623820246 2866574686 5247640492 5733149372 10495280984 11466298744 20990561968 22932597488 30173932829 60347865658 120695731316 241391462632 482782925264 552314161783 1104628323566 2209256647132 4418513294264 8837026588528 12703225721009 25406451442018 50812902884036 101625805768072 203251611536144