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1020343265032 = 2371331125935911
BaseRepresentation
bin11101101100100010011…
…00101010011100001000
310121112200110212100211111
432312101030222130020
5113204130333440112
62100423401140104
7133501025436430
oct16662114523410
93545613770744
101020343265032
113637a819a023
121458baa8a634
13752aab0bc80
14375561652c0
151b81c6da5a7
hexed9132a708

1020343265032 has 128 divisors (see below), whose sum is σ = 2432592691200. Its totient is φ = 390310099200.

The previous prime is 1020343265023. The next prime is 1020343265069. The reversal of 1020343265032 is 2305623430201.

It is a super-3 number, since 3×10203432650323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1020343264985 and 1020343265003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28395157 + ... + 28431067.

It is an arithmetic number, because the mean of its divisors is an integer number (19004630400).

Almost surely, 21020343265032 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 1020343265032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216296345600).

1020343265032 is an abundant number, since it is smaller than the sum of its proper divisors (1412249426168).

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

1020343265032 is a wasteful number, since it uses less digits than its factorization.

1020343265032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37227 (or 37223 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 1020343265032 its reverse (2305623430201), we get a palindrome (3325966695233).

The spelling of 1020343265032 in words is "one trillion, twenty billion, three hundred forty-three million, two hundred sixty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1259 1612 1736 2518 2821 3224 5036 5642 8813 10072 11284 16367 17626 22568 32734 35252 35911 39029 65468 70504 71822 78058 114569 130936 143644 156116 229138 251377 273203 287288 312232 458276 466843 502754 507377 546406 916552 933686 1005508 1014754 1092812 1113241 1867372 2011016 2029508 2185624 2226482 3267901 3551639 3734744 4059016 4452964 6535802 7103278 7792687 8905928 13071604 14206556 14472133 15585374 26143208 28413112 28944266 31170748 45211949 57888532 62341496 90423898 101304931 115777064 180847796 202609862 316483643 361695592 405219724 587755337 632967286 810439448 1175510674 1265934572 1401570419 2351021348 2531869144 2803140838 4114287359 4702042696 5606281676 8228574718 9810992933 11212563352 16457149436 18220415447 19621985866 32914298872 36440830894 39243971732 72881661788 78487943464 127542908129 145763323576 255085816258 510171632516 1020343265032