Search a number
-
+
10101741700 = 22521753191587
BaseRepresentation
bin10010110100001110…
…00101100010000100
3222002000012122111111
421122013011202010
5131142021213300
64350215214404
7505221246661
oct113207054204
928060178444
1010101741700
114314196066
121b5b077404
13c4cac096b
146bb888a68
153e1ca89ba
hex25a1c5884

10101741700 has 144 divisors (see below), whose sum is σ = 23812475904. Its totient is φ = 3705395200.

The previous prime is 10101741697. The next prime is 10101741719. The reversal of 10101741700 is 714710101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17208807 + ... + 17209393.

It is an arithmetic number, because the mean of its divisors is an integer number (165364416).

Almost surely, 210101741700 is an apocalyptic number.

10101741700 is a gapful number since it is divisible by the number (10) 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 10101741700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11906237952).

10101741700 is an abundant number, since it is smaller than the sum of its proper divisors (13710734204).

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

10101741700 is a wasteful number, since it uses less digits than its factorization.

10101741700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 22.

The spelling of 10101741700 in words is "ten billion, one hundred one million, seven hundred forty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 191 212 265 340 382 425 530 587 764 850 901 955 1060 1174 1325 1700 1802 1910 2348 2650 2935 3247 3604 3820 4505 4775 5300 5870 6494 9010 9550 9979 10123 11740 12988 14675 16235 18020 19100 19958 20246 22525 29350 31111 32470 39916 40492 45050 49895 50615 58700 62222 64940 81175 90100 99790 101230 112117 124444 155555 162350 172091 199580 202460 224234 249475 253075 311110 324700 344182 448468 498950 506150 528887 560585 622220 688364 777775 860455 997900 1012300 1057774 1121170 1555550 1720910 1905989 2115548 2242340 2644435 2802925 3111100 3441820 3811978 4302275 5288870 5605850 5942201 7623956 8604550 9529945 10577740 11211700 11884402 13222175 17209100 19059890 23768804 26444350 29711005 38119780 47649725 52888700 59422010 95299450 101017417 118844020 148555025 190598900 202034834 297110050 404069668 505087085 594220100 1010174170 2020348340 2525435425 5050870850 10101741700