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1013031223000 = 23536770121569
BaseRepresentation
bin11101011110111010101…
…11011011111011011000
310120211210212222010211221
432233131113123323120
5113044141443114000
62053214034501424
7133121600214556
oct16573527337330
93524725863757
101013031223000
11360695796685
121443ba134874
13746b3c80094
1437060dbcbd6
151b5407d461a
hexebdd5dbed8

1013031223000 has 128 divisors (see below), whose sum is σ = 2409417316800. Its totient is φ = 398576640000.

The previous prime is 1013031222977. The next prime is 1013031223003. The reversal of 1013031223000 is 3221303101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013031223003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46956216 + ... + 46977784.

Almost surely, 21013031223000 is an apocalyptic number.

1013031223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013031223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204708658400).

1013031223000 is an abundant number, since it is smaller than the sum of its proper divisors (1396386093800).

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

1013031223000 is a wasteful number, since it uses less digits than its factorization.

1013031223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22358 (or 22344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1013031223000 its reverse (3221303101), we get a palindrome (1016252526101).

The spelling of 1013031223000 in words is "one trillion, thirteen billion, thirty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 701 1000 1340 1402 1675 2680 2804 3350 3505 5608 6700 7010 8375 13400 14020 16750 17525 21569 28040 33500 35050 43138 46967 67000 70100 86276 87625 93934 107845 140200 172552 175250 187868 215690 234835 350500 375736 431380 469670 539225 701000 862760 939340 1078450 1174175 1445123 1878680 2156900 2348350 2696125 2890246 4313800 4696700 5392250 5780492 5870875 7225615 9393400 10784500 11560984 11741750 14451230 15119869 21569000 23483500 28902460 30239738 36128075 46967000 57804920 60479476 72256150 75599345 120958952 144512300 151198690 180640375 289024600 302397380 361280750 377996725 604794760 722561500 755993450 1013031223 1445123000 1511986900 1889983625 2026062446 3023973800 3779967250 4052124892 5065156115 7559934500 8104249784 10130312230 15119869000 20260624460 25325780575 40521248920 50651561150 101303122300 126628902875 202606244600 253257805750 506515611500 1013031223000