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20000133330 = 23529412712069
BaseRepresentation
bin10010101000000110…
…011101000011010010
31220121211210001010220
4102220012131003102
5311430013231310
613104332133510
71305423220422
oct225006350322
956554701126
1020000133330
118533610211
123a62007296
131b69723528
14d7a31c482
157c0c95670
hex4a819d0d2

20000133330 has 128 divisors (see below), whose sum is σ = 51078988800. Its totient is φ = 5002905600.

The previous prime is 20000133319. The next prime is 20000133337. The reversal of 20000133330 is 3333100002.

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 (20000133337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9665536 + ... + 9667604.

It is an arithmetic number, because the mean of its divisors is an integer number (399054600).

Almost surely, 220000133330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25539494400).

20000133330 is an abundant number, since it is smaller than the sum of its proper divisors (31078855470).

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

20000133330 is a wasteful number, since it uses less digits than its factorization.

20000133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 20000133330 its reverse (3333100002), we get a palindrome (23333233332).

The spelling of 20000133330 in words is "twenty billion, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 123 145 174 205 246 271 290 410 435 542 615 813 870 1189 1230 1355 1626 2069 2378 2710 3567 4065 4138 5945 6207 7134 7859 8130 10345 11111 11890 12414 15718 17835 20690 22222 23577 31035 33333 35670 39295 47154 55555 60001 62070 66666 78590 84829 111110 117885 120002 166665 169658 180003 235770 254487 300005 322219 333330 360006 424145 508974 560699 600010 644438 848290 900015 966657 1121398 1272435 1611095 1682097 1800030 1933314 2460041 2544870 2803495 3222190 3364194 4833285 4920082 5606990 7380123 8410485 9666570 12300205 14760246 16260271 16820970 22988659 24600410 32520542 36900615 45977318 48780813 68965977 73801230 81301355 97561626 114943295 137931954 162602710 229886590 243904065 344829885 487808130 666671111 689659770 1333342222 2000013333 3333355555 4000026666 6666711110 10000066665 20000133330