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201011331330 = 232517327147639
BaseRepresentation
bin1011101100110100110…
…1011000000100000010
3201012211211021122021100
42323031031120010002
511243132400100310
6232202054235230
720344151060565
oct2731515300402
9635754248240
10201011331330
1178280724417
1232b5a355b16
1315c559c5b94
149a2c53c4dc
155367142ec0
hex2ecd358102

201011331330 has 96 divisors (see below), whose sum is σ = 527601185280. Its totient is φ = 53095409280.

The previous prime is 201011331329. The next prime is 201011331331. The reversal of 201011331330 is 33133110102.

It is a happy number.

201011331330 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 1 + 331 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (201011331329) and next prime (201011331331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201011331331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4195651 + ... + 4243289.

It is an arithmetic number, because the mean of its divisors is an integer number (5495845680).

Almost surely, 2201011331330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263800592640).

201011331330 is an abundant number, since it is smaller than the sum of its proper divisors (326589853950).

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

201011331330 is a wasteful number, since it uses less digits than its factorization.

201011331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48096 (or 48093 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 201011331330 its reverse (33133110102), we get a palindrome (234144441432).

The spelling of 201011331330 in words is "two hundred one billion, eleven million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 271 346 519 542 813 865 1038 1355 1557 1626 1730 2439 2595 2710 3114 4065 4878 5190 7785 8130 12195 15570 24390 46883 47639 93766 95278 140649 142917 234415 238195 281298 285834 421947 428751 468830 476390 703245 714585 843894 857502 1406490 1429170 2109735 2143755 4219470 4287510 8241547 12910169 16483094 24724641 25820338 38730507 41207735 49449282 64550845 74173923 77461014 82415470 116191521 123623205 129101690 148347846 193652535 232383042 247246410 370869615 387305070 580957605 741739230 1161915210 2233459237 4466918474 6700377711 11167296185 13400755422 20101133133 22334592370 33501888555 40202266266 67003777110 100505665665 201011331330