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10003545020 = 22572233471279
BaseRepresentation
bin10010101000100000…
…11111101110111100
3221211011102201222102
421110100133232330
5130441401420040
64332350404232
7502616505200
oct112420375674
927734381872
1010003545020
114273816487
121b32200678
13c3565bc11
146ac806b00
153d835d515
hex25441fbbc

10003545020 has 144 divisors (see below), whose sum is σ = 25593200640. Its totient is φ = 3268653696.

The previous prime is 10003545007. The next prime is 10003545053. The reversal of 10003545020 is 2054530001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10003544983 and 10003545001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7820741 + ... + 7822019.

It is an arithmetic number, because the mean of its divisors is an integer number (177730560).

Almost surely, 210003545020 is an apocalyptic number.

10003545020 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 10003545020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796600320).

10003545020 is an abundant number, since it is smaller than the sum of its proper divisors (15589655620).

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

10003545020 is a wasteful number, since it uses less digits than its factorization.

10003545020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 10003545020 in words is "ten billion, three million, five hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 347 460 490 644 694 805 980 1127 1279 1388 1610 1735 2254 2429 2558 3220 3470 4508 4858 5116 5635 6395 6940 7981 8953 9716 11270 12145 12790 15962 17003 17906 22540 24290 25580 29417 31924 34006 35812 39905 44765 48580 55867 58834 62671 68012 79810 85015 89530 111734 117668 125342 147085 159620 170030 179060 205919 223468 250684 279335 294170 313355 340060 391069 411838 443813 558670 588340 626710 782138 823676 887626 1029595 1117340 1253420 1441433 1564276 1775252 1955345 2059190 2219065 2882866 3106691 3910690 4118380 4438130 5765732 6213382 7207165 7821380 8876260 10207699 12426764 14414330 15533455 20415398 21746837 28828660 31066910 40830796 43493674 51038495 62133820 71453893 86987348 102076990 108734185 142907786 204153980 217468370 285815572 357269465 434936740 500177251 714538930 1000354502 1429077860 2000709004 2500886255 5001772510 10003545020