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213380451240 = 2335117389139179
BaseRepresentation
bin1100011010111001110…
…1110100101110101000
3202101202211222000221120
43012232131310232220
511444000343414430
6242005311335240
721262523623635
oct3065635645650
9671684860846
10213380451240
118254877a270
1235430821520
1317177479548
14a4831a318c
15583cec7610
hex31ae774ba8

213380451240 has 512 divisors, whose sum is σ = 725034240000. Its totient is φ = 49804001280.

The previous prime is 213380451227. The next prime is 213380451259. The reversal of 213380451240 is 42154083312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1192069471 + ... + 1192069649.

It is an arithmetic number, because the mean of its divisors is an integer number (1416082500).

Almost surely, 2213380451240 is an apocalyptic number.

213380451240 is a gapful number since it is divisible by the number (20) 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 213380451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362517120000).

213380451240 is an abundant number, since it is smaller than the sum of its proper divisors (511653788760).

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

213380451240 is a wasteful number, since it uses less digits than its factorization.

213380451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 213380451240 in words is "two hundred thirteen billion, three hundred eighty million, four hundred fifty-one thousand, two hundred forty".