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423422123100 = 2235219293253531
BaseRepresentation
bin1100010100101011110…
…11001101110001011100
31111110221000102111121120
412022111323031301130
523414132030414400
6522303433330540
742406536443124
oct6122573156134
91443830374546
10423422123100
11153632828129
126a08b266a50
1330c0bcb6692
14166cab73c84
15b032cdbca0
hex6295ecdc5c

423422123100 has 144 divisors (see below), whose sum is σ = 1293986762880. Its totient is φ = 106604294400.

The previous prime is 423422123093. The next prime is 423422123101. The reversal of 423422123100 is 1321224324.

It is a happy number.

It is a super-2 number, since 2×4234221231002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423422123101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543335 + ... + 1796865.

Almost surely, 2423422123100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423422123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646993381440).

423422123100 is an abundant number, since it is smaller than the sum of its proper divisors (870564639780).

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

423422123100 is a wasteful number, since it uses less digits than its factorization.

423422123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253860 (or 253853 counting only the distinct ones).

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

Adding to 423422123100 its reverse (1321224324), we get a palindrome (424743347424).

The spelling of 423422123100 in words is "four hundred twenty-three billion, four hundred twenty-two million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 293 300 380 475 570 586 879 950 1140 1172 1425 1465 1758 1900 2850 2930 3516 4395 5567 5700 5860 7325 8790 11134 14650 16701 17580 21975 22268 27835 29300 33402 43950 55670 66804 83505 87900 111340 139175 167010 253531 278350 334020 417525 507062 556700 760593 835050 1014124 1267655 1521186 1670100 2535310 3042372 3802965 4817089 5070620 6338275 7605930 9634178 12676550 14451267 15211860 19014825 19268356 24085445 25353100 28902534 38029650 48170890 57805068 72256335 74284583 76059300 96341780 120427225 144512670 148569166 222853749 240854450 289025340 297138332 361281675 371422915 445707498 481708900 722563350 742845830 891414996 1114268745 1411407077 1445126700 1485691660 1857114575 2228537490 2822814154 3714229150 4234221231 4457074980 5571343725 5645628308 7057035385 7428458300 8468442462 11142687450 14114070770 16936884924 21171106155 22285374900 28228141540 35285176925 42342212310 70570353850 84684424620 105855530775 141140707700 211711061550 423422123100