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1003013020000 = 2554371355423
BaseRepresentation
bin11101001100010000011…
…11000001100101100000
310112212221200221200220101
432212020033001211200
5112413132313120000
62044440001552144
7132315411666625
oct16461017014540
93485850850811
101003013020000
11357414779472
12142483045654
137377858b404
143679067c34c
151b15602ce6a
hexe9883c1960

1003013020000 has 120 divisors (see below), whose sum is σ = 2534255228736. Its totient is φ = 390361536000.

The previous prime is 1003013019989. The next prime is 1003013020001. The reversal of 1003013020000 is 203103001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003013020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62289 + ... + 1417711.

Almost surely, 21003013020000 is an apocalyptic number.

1003013020000 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 1003013020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267127614368).

1003013020000 is an abundant number, since it is smaller than the sum of its proper divisors (1531242208736).

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

1003013020000 is an equidigital number, since it uses as much as digits as its factorization.

1003013020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355490 (or 1355467 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1003013020000 its reverse (203103001), we get a palindrome (1003216123001).

The spelling of 1003013020000 in words is "one trillion, three billion, thirteen million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3700 4000 4625 5000 5920 7400 9250 10000 14800 18500 20000 23125 29600 37000 46250 74000 92500 148000 185000 370000 740000 1355423 2710846 5421692 6777115 10843384 13554230 21686768 27108460 33885575 43373536 50150651 54216920 67771150 100301302 108433840 135542300 169427875 200602604 216867680 250753255 271084600 338855750 401205208 501506510 542169200 677711500 802410416 847139375 1003013020 1084338400 1253766275 1355423000 1604820832 1694278750 2006026040 2507532550 2710846000 3388557500 4012052080 5015065100 5421692000 6268831375 6777115000 8024104160 10030130200 12537662750 13554230000 20060260400 25075325500 27108460000 31344156875 40120520800 50150651000 62688313750 100301302000 125376627500 200602604000 250753255000 501506510000 1003013020000