Search a number
-
+
212021102000 = 2453598092221
BaseRepresentation
bin1100010101110101110…
…0010100010110110000
3202021021010002221100102
43011131130110112300
511433204400231000
6241222352011532
721214036426421
oct3053534242660
9667233087312
10212021102000
1181a10426044
1235111530ba8
1316cbb961896
14a394833648
1557ad9b23d5
hex315d7145b0

212021102000 has 160 divisors (see below), whose sum is σ = 522235771200. Its totient is φ = 83230464000.

The previous prime is 212021101969. The next prime is 212021102017. The reversal of 212021102000 is 201120212.

It is a happy 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, 95460890 + ... + 95463110.

It is an arithmetic number, because the mean of its divisors is an integer number (3263973570).

Almost surely, 2212021102000 is an apocalyptic number.

212021102000 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 212021102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261117885600).

212021102000 is an abundant number, since it is smaller than the sum of its proper divisors (310214669200).

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

212021102000 is a wasteful number, since it uses less digits than its factorization.

212021102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212021102000 its reverse (201120212), we get a palindrome (212222222212).

The spelling of 212021102000 in words is "two hundred twelve billion, twenty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 809 944 1000 1180 1475 1618 2000 2221 2360 2950 3236 4045 4442 4720 5900 6472 7375 8090 8884 11105 11800 12944 14750 16180 17768 20225 22210 23600 29500 32360 35536 40450 44420 47731 55525 59000 64720 80900 88840 95462 101125 111050 118000 131039 161800 177680 190924 202250 222100 238655 262078 277625 323600 381848 404500 444200 477310 524156 555250 655195 763696 809000 888400 954620 1048312 1110500 1193275 1310390 1618000 1796789 1909240 2096624 2221000 2386550 2620780 3275975 3593578 3818480 4442000 4773100 5241560 5966375 6551950 7187156 8983945 9546200 10483120 11932750 13103900 14374312 16379875 17967890 19092400 23865500 26207800 28748624 32759750 35935780 44919725 47731000 52415600 65519500 71871560 89839450 95462000 106010551 131039000 143743120 179678900 212021102 224598625 262078000 359357800 424042204 449197250 530052755 718715600 848084408 898394500 1060105510 1696168816 1796789000 2120211020 2650263775 3593578000 4240422040 5300527550 8480844080 10601055100 13251318875 21202110200 26502637750 42404220400 53005275500 106010551000 212021102000