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150003512120 = 23571197502087
BaseRepresentation
bin1000101110110011100…
…1111111001100111000
3112100012000001221121002
42023230321333030320
54424201344341440
6152524411504132
713560140546450
oct2135471771470
9470160057532
10150003512120
1158686087930
12250a3a58048
13111b720bc37
147390026d60
153d7e075115
hex22ece7f338

150003512120 has 128 divisors (see below), whose sum is σ = 425127951360. Its totient is φ = 46272245760.

The previous prime is 150003512069. The next prime is 150003512137. The reversal of 150003512120 is 21215300051.

It is a happy number.

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 = 150003512092 and 150003512101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47717 + ... + 549803.

It is an arithmetic number, because the mean of its divisors is an integer number (3321312120).

Almost surely, 2150003512120 is an apocalyptic number.

150003512120 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 150003512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212563975680).

150003512120 is an abundant number, since it is smaller than the sum of its proper divisors (275124439240).

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

150003512120 is a wasteful number, since it uses less digits than its factorization.

150003512120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502213 (or 502209 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 150003512120 its reverse (21215300051), we get a palindrome (171218812171).

The spelling of 150003512120 in words is "one hundred fifty billion, three million, five hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 97 110 140 154 194 220 280 308 385 388 440 485 616 679 770 776 970 1067 1358 1540 1940 2134 2716 3080 3395 3880 4268 5335 5432 6790 7469 8536 10670 13580 14938 21340 27160 29876 37345 42680 59752 74690 149380 298760 502087 1004174 2008348 2510435 3514609 4016696 5020870 5522957 7029218 10041740 11045914 14058436 17573045 20083480 22091828 27614785 28116872 35146090 38660699 44183656 48702439 55229570 70292180 77321398 97404878 110459140 140584360 154642796 193303495 194809756 220918280 243512195 309285592 340917073 386606990 389619512 487024390 535726829 681834146 773213980 974048780 1071453658 1363668292 1546427960 1704585365 1948097560 2142907316 2678634145 2727336584 3409170730 3750087803 4285814632 5357268290 6818341460 7500175606 10714536580 13636682920 15000351212 18750439015 21429073160 30000702424 37500878030 75001756060 150003512120