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151020531400 = 235219316672347
BaseRepresentation
bin1000110010100110000…
…1100110111011001000
3112102210212202212202211
42030221201212323020
54433242224001100
6153213342034504
713624300223314
oct2145141467310
9472725685684
10151020531400
1159058175532
1225328578a34
1311319b278ab
147449124b44
153ddd4b91ba
hex2329866ec8

151020531400 has 96 divisors (see below), whose sum is σ = 353304217440. Its totient is φ = 60033576960.

The previous prime is 151020531397. The next prime is 151020531413. The reversal of 151020531400 is 4135020151.

It is a happy number.

It is a super-3 number, since 3×1510205314003 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64345027 + ... + 64347373.

It is an arithmetic number, because the mean of its divisors is an integer number (3680252265).

Almost surely, 2151020531400 is an apocalyptic number.

151020531400 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 151020531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176652108720).

151020531400 is an abundant number, since it is smaller than the sum of its proper divisors (202283686040).

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

151020531400 is a wasteful number, since it uses less digits than its factorization.

151020531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 151020531400 its reverse (4135020151), we get a palindrome (155155551551).

The spelling of 151020531400 in words is "one hundred fifty-one billion, twenty million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1667 1930 2347 3334 3860 4694 4825 6668 7720 8335 9388 9650 11735 13336 16670 18776 19300 23470 33340 38600 41675 46940 58675 66680 83350 93880 117350 166700 234700 321731 333400 452971 469400 643462 905942 1286924 1608655 1811884 2264855 2573848 3217310 3623768 3912449 4529710 6434620 7824898 8043275 9059420 11324275 12869240 15649796 16086550 18118840 19562245 22648550 31299592 32173100 39124490 45297100 64346200 78248980 90594200 97811225 156497960 195622450 391244900 755102657 782489800 1510205314 3020410628 3775513285 6040821256 7551026570 15102053140 18877566425 30204106280 37755132850 75510265700 151020531400