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13233020001000 = 2335317683249449
BaseRepresentation
bin1100000010010000110101…
…1101001101101011101000
31201212001201220202001200220
43000210031131031223220
53213302211110013000
644051055423530040
72534024400052032
oct300441535155350
951761656661626
1013233020001000
114242101896418
121598793759920
1374cb39c37907
1433a6a5682c52
1517e34b92a1a0
hexc090d74dae8

13233020001000 has 128 divisors (see below), whose sum is σ = 41289522768000. Its totient is φ = 3528591628800.

The previous prime is 13233020000983. The next prime is 13233020001007. The reversal of 13233020001000 is 10002033231.

It is a super-2 number, since 2×132330200010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13233020001007) 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, 52924276 + ... + 53173724.

It is an arithmetic number, because the mean of its divisors is an integer number (322574396625).

Almost surely, 213233020001000 is an apocalyptic number.

13233020001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13233020001000 is an abundant number, since it is smaller than the sum of its proper divisors (28056502767000).

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

13233020001000 is a wasteful number, since it uses less digits than its factorization.

13233020001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267156 (or 267142 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13233020001000 its reverse (10002033231), we get a palindrome (13243022034231).

The spelling of 13233020001000 in words is "thirteen trillion, two hundred thirty-three billion, twenty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 17683 35366 53049 70732 88415 106098 141464 176830 212196 249449 265245 353660 424392 442075 498898 530490 707320 748347 884150 997796 1060980 1247245 1326225 1496694 1768300 1995592 2121960 2210375 2494490 2652450 2993388 3536600 3741735 4420750 4988980 5304900 5986776 6236225 6631125 7483470 8841500 9977960 10609800 12472450 13262250 14966940 17683000 18708675 24944900 26524500 29933880 31181125 37417350 49889800 53049000 62362250 74834700 93543375 124724500 149669400 187086750 249449000 374173500 748347000 4411006667 8822013334 13233020001 17644026668 22055033335 26466040002 35288053336 44110066670 52932080004 66165100005 88220133340 105864160008 110275166675 132330200010 176440266680 220550333350 264660400020 330825500025 441100666700 529320800040 551375833375 661651000050 882201333400 1102751666750 1323302000100 1654127500125 2205503333500 2646604000200 3308255000250 4411006667000 6616510000500 13233020001000