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1013211223000 = 235331113289241
BaseRepresentation
bin11101011111010000001…
…10000101001111011000
310120212021102200002102121
432233220012011033120
5113100024033114000
62053243544511024
7133126214203114
oct16575006051730
93525242602377
101013211223000
11360778359309
1214444a47b474
1374712353c62
143707ac76744
151b5514dcb1a
hexebe81853d8

1013211223000 has 128 divisors (see below), whose sum is σ = 2469062269440. Its totient is φ = 388738560000.

The previous prime is 1013211222851. The next prime is 1013211223007. The reversal of 1013211223000 is 3221123101.

1013211223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013211223007) 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, 3358380 + ... + 3647620.

It is an arithmetic number, because the mean of its divisors is an integer number (19289548980).

Almost surely, 21013211223000 is an apocalyptic number.

1013211223000 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 1013211223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234531134720).

1013211223000 is an abundant number, since it is smaller than the sum of its proper divisors (1455851046440).

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

1013211223000 is a wasteful number, since it uses less digits than its factorization.

1013211223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289406 (or 289392 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1013211223000 its reverse (3221123101), we get a palindrome (1016432346101).

The spelling of 1013211223000 in words is "one trillion, thirteen billion, two hundred eleven million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 113 124 125 155 200 226 248 250 310 452 500 565 620 775 904 1000 1130 1240 1550 2260 2825 3100 3503 3875 4520 5650 6200 7006 7750 11300 14012 14125 15500 17515 22600 28024 28250 31000 35030 56500 70060 87575 113000 140120 175150 289241 350300 437875 578482 700600 875750 1156964 1446205 1751500 2313928 2892410 3503000 5784820 7231025 8966471 11569640 14462050 17932942 28924100 32684233 35865884 36155125 44832355 57848200 65368466 71731768 72310250 89664710 130736932 144620500 163421165 179329420 224161775 261473864 289241000 326842330 358658840 448323550 653684660 817105825 896647100 1013211223 1120808875 1307369320 1634211650 1793294200 2026422446 2241617750 3268423300 4052844892 4085529125 4483235500 5066056115 6536846600 8105689784 8171058250 8966471000 10132112230 16342116500 20264224460 25330280575 32684233000 40528448920 50660561150 101321122300 126651402875 202642244600 253302805750 506605611500 1013211223000