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202543434120 = 23357692194879
BaseRepresentation
bin1011110010100010000…
…1111000100110001000
3201100210121012112012010
42330220201320212020
511304302104342440
6233014104415520
720430133532556
oct2745041704610
9640717175163
10202543434120
1178997540975
12333074775a0
131613b248291
149b35bdabd6
1554068ce580
hex2f28878988

202543434120 has 64 divisors (see below), whose sum is σ = 608420736000. Its totient is φ = 53941321728.

The previous prime is 202543434113. The next prime is 202543434127. The reversal of 202543434120 is 21434345202.

It is an interprime number because it is at equal distance from previous prime (202543434113) and next prime (202543434127).

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

It is not an unprimeable number, because it can be changed into a prime (202543434127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005160 + ... + 1189719.

It is an arithmetic number, because the mean of its divisors is an integer number (9506574000).

Almost surely, 2202543434120 is an apocalyptic number.

202543434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202543434120 is an abundant number, since it is smaller than the sum of its proper divisors (405877301880).

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

202543434120 is a wasteful number, since it uses less digits than its factorization.

202543434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195662 (or 2195658 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 202543434120 its reverse (21434345202), we get a palindrome (223977779322).

The spelling of 202543434120 in words is "two hundred two billion, five hundred forty-three million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 769 1538 2307 3076 3845 4614 6152 7690 9228 11535 15380 18456 23070 30760 46140 92280 2194879 4389758 6584637 8779516 10974395 13169274 17559032 21948790 26338548 32923185 43897580 52677096 65846370 87795160 131692740 263385480 1687861951 3375723902 5063585853 6751447804 8439309755 10127171706 13502895608 16878619510 20254343412 25317929265 33757239020 40508686824 50635858530 67514478040 101271717060 202543434120