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153350313420 = 223553449310733
BaseRepresentation
bin1000111011010001100…
…1000001010111001100
3112122211020200001212210
42032310121001113030
510003030140012140
6154240445230420
714036110104603
oct2166431012714
9478736601783
10153350313420
115a043288217
1225878862410
13115cb6c9735
1475ca706a3a
153ec7cbed80
hex23b46415cc

153350313420 has 96 divisors (see below), whose sum is σ = 437620542912. Its totient is φ = 40109175808.

The previous prime is 153350313409. The next prime is 153350313443. The reversal of 153350313420 is 24313053351.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 14282374 + ... + 14293106.

It is an arithmetic number, because the mean of its divisors is an integer number (4558547322).

Almost surely, 2153350313420 is an apocalyptic number.

153350313420 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 153350313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218810271456).

153350313420 is an abundant number, since it is smaller than the sum of its proper divisors (284270229492).

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

153350313420 is a wasteful number, since it uses less digits than its factorization.

153350313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15291 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 153350313420 its reverse (24313053351), we get a palindrome (177663366771).

The spelling of 153350313420 in words is "one hundred fifty-three billion, three hundred fifty million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4493 8986 10733 13479 17972 21466 22465 26958 32199 42932 44930 53665 53916 64398 67395 89860 107330 128796 134790 160995 214660 238129 269580 321990 476258 568849 643980 714387 952516 1137698 1190645 1428774 1706547 2275396 2381290 2844245 2857548 3413094 3571935 4762580 5688490 6826188 7143870 8532735 11376980 14287740 17065470 34130940 48223369 96446738 144670107 192893476 241116845 289340214 482233690 578680428 723350535 964467380 1446701070 2555838557 2893402140 5111677114 7667515671 10223354228 12779192785 15335031342 25558385570 30670062684 38337578355 51116771140 76675156710 153350313420