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212103434040 = 23353538149957
BaseRepresentation
bin1100010110001001011…
…0011000111100111000
3202021110212000211200020
43011202112120330320
511433341434342130
6241234452410440
721216056304501
oct3054226307470
9667425024606
10212103434040
1181a5294a353
1235135016a20
1317002a2a574
14a3a1745ba8
1557b5d26e10
hex3162598f38

212103434040 has 64 divisors (see below), whose sum is σ = 636341024160. Its totient is φ = 56558184960.

The previous prime is 212103434009. The next prime is 212103434071. The reversal of 212103434040 is 40434301212.

It is an interprime number because it is at equal distance from previous prime (212103434009) and next prime (212103434071).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212103434040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220742 + ... + 4270698.

Almost surely, 2212103434040 is an apocalyptic number.

212103434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212103434040 is an abundant number, since it is smaller than the sum of its proper divisors (424237590120).

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

212103434040 is a wasteful number, since it uses less digits than its factorization.

212103434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85352 (or 85348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212103434040 its reverse (40434301212), we get a palindrome (252537735252).

The spelling of 212103434040 in words is "two hundred twelve billion, one hundred three million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 35381 49957 70762 99914 106143 141524 149871 176905 199828 212286 249785 283048 299742 353810 399656 424572 499570 530715 599484 707620 749355 849144 999140 1061430 1198968 1415240 1498710 1998280 2122860 2997420 4245720 5994840 1767528617 3535057234 5302585851 7070114468 8837643085 10605171702 14140228936 17675286170 21210343404 26512929255 35350572340 42420686808 53025858510 70701144680 106051717020 212103434040