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1020430153200 = 243522336972107
BaseRepresentation
bin11101101100101100110…
…00000111010111110000
310121112220112100201222210
432312112120013113300
5113204320104400300
62100440143332120
7133503132121623
oct16662630072760
93545815321883
101020430153200
11363842245427
12145923bb1040
13752c2b116a3
1437563901dba
151b825150050
hexed966075f0

1020430153200 has 120 divisors (see below), whose sum is σ = 3410898795648. Its totient is φ = 260283626240.

The previous prime is 1020430153181. The next prime is 1020430153241. The reversal of 1020430153200 is 23510340201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10204301532003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18458454 + ... + 18513653.

Almost surely, 21020430153200 is an apocalyptic number.

1020430153200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020430153200 is an abundant number, since it is smaller than the sum of its proper divisors (2390468642448).

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

1020430153200 is a wasteful number, since it uses less digits than its factorization.

1020430153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36972151 (or 36972140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1020430153200 its reverse (23510340201), we get a palindrome (1043940493401).

The spelling of 1020430153200 in words is "one trillion, twenty billion, four hundred thirty million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 36972107 73944214 110916321 147888428 184860535 221832642 295776856 369721070 443665284 554581605 591553712 739442140 850358461 887330568 924302675 1109163210 1478884280 1700716922 1774661136 1848605350 2218326420 2551075383 2772908025 2957768560 3401433844 3697210700 4251792305 4436652840 5102150766 5545816050 6802867688 7394421400 8503584610 8873305680 10204301532 11091632100 12755376915 13605735376 14788842800 17007169220 20408603064 21258961525 22183264200 25510753830 34014338440 40817206128 42517923050 44366528400 51021507660 63776884575 68028676880 85035846100 102043015320 127553769150 170071692200 204086030640 255107538300 340143384400 510215076600 1020430153200