Search a number
-
+
33100342000 = 2453117121191
BaseRepresentation
bin11110110100111011…
…110010001011110000
310011102211010121001121
4132310323302023300
51020242141421000
623112303112024
72251154156545
oct366473621360
9104384117047
1033100342000
1113046309950
1264b92a2614
1331767ac9ab
1418600d0bcc
15cdadddb1a
hex7b4ef22f0

33100342000 has 160 divisors (see below), whose sum is σ = 88546618368. Its totient is φ = 11866400000.

The previous prime is 33100341991. The next prime is 33100342027. The reversal of 33100342000 is 24300133.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551405 + ... + 1572595.

Almost surely, 233100342000 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 33100342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44273309184).

33100342000 is an abundant number, since it is smaller than the sum of its proper divisors (55446276368).

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

33100342000 is a wasteful number, since it uses less digits than its factorization.

33100342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21296 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33100342000 its reverse (24300133), we get a palindrome (33124642133).

The spelling of 33100342000 in words is "thirty-three billion, one hundred million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 125 142 176 200 220 250 275 284 355 400 440 500 550 568 710 781 880 1000 1100 1136 1375 1420 1562 1775 2000 2200 2750 2840 3124 3550 3905 4400 5500 5680 6248 7100 7810 8875 11000 12496 14200 15620 17750 19525 21191 22000 28400 31240 35500 39050 42382 62480 71000 78100 84764 97625 105955 142000 156200 169528 195250 211910 233101 312400 339056 390500 423820 466202 529775 781000 847640 932404 1059550 1165505 1504561 1562000 1695280 1864808 2119100 2331010 2648875 3009122 3729616 4238200 4662020 5297750 5827525 6018244 7522805 8476400 9324040 10595500 11655050 12036488 15045610 16550171 18648080 21191000 23310100 24072976 29137625 30091220 33100342 37614025 42382000 46620200 58275250 60182440 66200684 75228050 82750855 93240400 116550500 120364880 132401368 150456100 165501710 188070125 233101000 264802736 300912200 331003420 376140250 413754275 466202000 601824400 662006840 752280500 827508550 1324013680 1504561000 1655017100 2068771375 3009122000 3310034200 4137542750 6620068400 8275085500 16550171000 33100342000