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1012100331700 = 225267836132969
BaseRepresentation
bin11101011101001011110…
…00010111100010110100
310120202102000022222001101
432232211320113202310
5113040240141103300
62052541422335444
7133056534606013
oct16564570274264
93522360288041
101012100331700
11360258285227
1214419a42a584
137459615bb23
1436db3500a7a
151b4d8c04b6a
hexeba5e178b4

1012100331700 has 144 divisors (see below), whose sum is σ = 2260334704320. Its totient is φ = 393217735680.

The previous prime is 1012100331691. The next prime is 1012100331719. The reversal of 1012100331700 is 71330012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340887816 + ... + 340890784.

It is an arithmetic number, because the mean of its divisors is an integer number (15696768780).

Almost surely, 21012100331700 is an apocalyptic number.

1012100331700 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 1012100331700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130167352160).

1012100331700 is an abundant number, since it is smaller than the sum of its proper divisors (1248234372620).

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

1012100331700 is a wasteful number, since it uses less digits than its factorization.

1012100331700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 1012100331700 its reverse (71330012101), we get a palindrome (1083430343801).

The spelling of 1012100331700 in words is "one trillion, twelve billion, one hundred million, three hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 67 83 100 134 166 268 332 335 415 613 670 830 1226 1340 1660 1675 2075 2452 2969 3065 3350 4150 5561 5938 6130 6700 8300 11122 11876 12260 14845 15325 22244 27805 29690 30650 41071 50879 55610 59380 61300 74225 82142 101758 111220 139025 148450 164284 198923 203516 205355 246427 254395 278050 296900 397846 410710 492854 508790 556100 795692 821420 985708 994615 1017580 1026775 1232135 1271975 1819997 1989230 2053550 2464270 2543950 3408893 3639994 3978460 4107100 4928540 4973075 5087900 6160675 6817786 7279988 9099985 9946150 12321350 13635572 16510609 17044465 18199970 19892300 24642700 33021218 34088930 36399940 45499925 66042436 68177860 82553045 85222325 90999850 121939799 151059751 165106090 170444650 181999700 243879598 302119502 330212180 340889300 412765225 487759196 604239004 609698995 755298755 825530450 1219397990 1510597510 1651060900 2438795980 3021195020 3048494975 3776493775 6096989950 7552987550 10121003317 12193979900 15105975100 20242006634 40484013268 50605016585 101210033170 202420066340 253025082925 506050165850 1012100331700