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1020253151430 = 232595317118931
BaseRepresentation
bin11101101100010111101…
…00111010000011000110
310121112110012022010012200
432312023310322003012
5113203434301321210
62100410421455330
7133465552461522
oct16661364720306
93545405263180
101020253151430
11363761340377
12145894871546
137529524a406
14375481c8d82
151b81483a0c0
hexed8bd3a0c6

1020253151430 has 48 divisors (see below), whose sum is σ = 2652708327984. Its totient is φ = 272062365120.

The previous prime is 1020253151419. The next prime is 1020253151441. The reversal of 1020253151430 is 341513520201.

1020253151430 is a `hidden beast` number, since 1 + 0 + 202 + 5 + 315 + 143 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1020253151419) and next prime (1020253151441).

It is a super-2 number, since 2×10202531514302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020253151394 and 1020253151403.

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, 8519065 + ... + 8637995.

It is an arithmetic number, because the mean of its divisors is an integer number (55264756833).

Almost surely, 21020253151430 is an apocalyptic number.

1020253151430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020253151430 is an abundant number, since it is smaller than the sum of its proper divisors (1632455176554).

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

1020253151430 is a wasteful number, since it uses less digits than its factorization.

1020253151430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214261 (or 214258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1020253151430 its reverse (341513520201), we get a palindrome (1361766671631).

The spelling of 1020253151430 in words is "one trillion, twenty billion, two hundred fifty-three million, one hundred fifty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 95317 118931 190634 237862 285951 356793 476585 571902 594655 713586 857853 953170 1070379 1189310 1429755 1715706 1783965 2140758 2859510 3567930 4289265 5351895 8578530 10703790 11336146127 22672292254 34008438381 56680730635 68016876762 102025315143 113361461270 170042191905 204050630286 340084383810 510126575715 1020253151430