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1001011102032 = 24329799102749
BaseRepresentation
bin11101001000100001110…
…10010100000101010000
310112200210011222201201110
432210100322110011100
5112400032320231112
62043505205533320
7132214662656244
oct16442072240520
93480704881643
101001011102032
11356587741907
12142004714240
13735198c2076
1436640844424
151b08a3dc13c
hexe910e94150

1001011102032 has 80 divisors (see below), whose sum is σ = 2708978400000. Its totient is φ = 318086426112.

The previous prime is 1001011102031. The next prime is 1001011102043. The reversal of 1001011102032 is 2302011101001.

It is a super-2 number, since 2×10010111020322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001011101999 and 1001011102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011102031) 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, 4441407 + ... + 4661342.

It is an arithmetic number, because the mean of its divisors is an integer number (33862230000).

Almost surely, 21001011102032 is an apocalyptic number.

1001011102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001011102032 is an abundant number, since it is smaller than the sum of its proper divisors (1707967297968).

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

1001011102032 is a wasteful number, since it uses less digits than its factorization.

1001011102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102868 (or 9102862 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1001011102032 its reverse (2302011101001), we get a palindrome (3303022203033).

The spelling of 1001011102032 in words is "one trillion, one billion, eleven million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1392 1896 2291 3792 4582 6873 9164 13746 18328 27492 36656 54984 109968 9102749 18205498 27308247 36410996 54616494 72821992 109232988 145643984 218465976 263979721 436931952 527959442 719117171 791939163 1055918884 1438234342 1583878326 2111837768 2157351513 2876468684 3167756652 4223675536 4314703026 5752937368 6335513304 8629406052 11505874736 12671026608 17258812104 20854397959 34517624208 41708795918 62563193877 83417591836 125126387754 166835183672 250252775508 333670367344 500505551016 1001011102032