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20212113150 = 23252317120407
BaseRepresentation
bin10010110100101111…
…000101111011111110
31221011121122201210100
4102310233011323332
5312343300110100
613141343421530
71313606061405
oct226457057376
957147581710
1020212113150
118632235849
123b00bb48a6
131ba1613588
14d9a53c63c
157d46b9400
hex4b4bc5efe

20212113150 has 144 divisors (see below), whose sum is σ = 56847218688. Its totient is φ = 5142312000.

The previous prime is 20212113143. The next prime is 20212113193. The reversal of 20212113150 is 5131121202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 980247 + ... + 1000653.

It is an arithmetic number, because the mean of its divisors is an integer number (394772352).

Almost surely, 220212113150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212113150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28423609344).

20212113150 is an abundant number, since it is smaller than the sum of its proper divisors (36635105538).

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

20212113150 is a wasteful number, since it uses less digits than its factorization.

20212113150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20527 (or 20519 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 20212113150 its reverse (5131121202), we get a palindrome (25343234352).

The spelling of 20212113150 in words is "twenty billion, two hundred twelve million, one hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 71 75 90 93 142 150 155 186 213 225 279 310 355 426 450 465 558 639 710 775 930 1065 1278 1395 1550 1775 2130 2201 2325 2790 3195 3550 4402 4650 5325 6390 6603 6975 10650 11005 13206 13950 15975 19809 20407 22010 31950 33015 39618 40814 55025 61221 66030 99045 102035 110050 122442 165075 183663 198090 204070 306105 330150 367326 495225 510175 612210 632617 918315 990450 1020350 1265234 1448897 1530525 1836630 1897851 2897794 3061050 3163085 3795702 4346691 4591575 5693553 6326170 7244485 8693382 9183150 9489255 11387106 13040073 14488970 15815425 18978510 21733455 26080146 28467765 31630850 36222425 43466910 44915807 47446275 56935530 65200365 72444850 89831614 94892550 108667275 130400730 134747421 142338825 217334550 224579035 269494842 284677650 326001825 404242263 449158070 652003650 673737105 808484526 1122895175 1347474210 2021211315 2245790350 3368685525 4042422630 6737371050 10106056575 20212113150