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102103122103008 = 25313157521104453
BaseRepresentation
bin10111001101110010111100…
…010100101100101011100000
3111101111222000010120222200020
4113031302330110230223200
5101340324143224244013
61001053305440153440
730335464356102045
oct2715627424545340
9441458003528606
10102103122103008
112a595766671284
12b550329008880
1344c838ac83480
141b2db632311cc
15bc0e0ab49623
hex5cdcbc52cae0

102103122103008 has 96 divisors (see below), whose sum is σ = 290476129166496. Its totient is φ = 31216241092608.

The previous prime is 102103122102973. The next prime is 102103122103009. The reversal of 102103122103008 is 800301221301201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102103122103009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260356291 + ... + 260748162.

It is an arithmetic number, because the mean of its divisors is an integer number (3025793012151).

Almost surely, 2102103122103008 is an apocalyptic number.

It is an amenable number.

102103122103008 is an abundant number, since it is smaller than the sum of its proper divisors (188373007063488).

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

102103122103008 is a wasteful number, since it uses less digits than its factorization.

102103122103008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521104636 (or 521104628 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 102103122103008 its reverse (800301221301201), we get a palindrome (902404343404209).

The spelling of 102103122103008 in words is "one hundred two trillion, one hundred three billion, one hundred twenty-two million, one hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 157 208 312 314 416 471 624 628 942 1248 1256 1884 2041 2512 3768 4082 5024 6123 7536 8164 12246 15072 16328 24492 32656 48984 65312 97968 195936 521104453 1042208906 1563313359 2084417812 3126626718 4168835624 6253253436 6774357889 8337671248 12506506872 13548715778 16675342496 20323073667 25013013744 27097431556 40646147334 50026027488 54194863112 81292294668 81813399121 108389726224 162584589336 163626798242 216779452448 245440197363 325169178672 327253596484 490880394726 650338357344 654507192968 981760789452 1063574188573 1309014385936 1963521578904 2127148377146 2618028771872 3190722565719 3927043157808 4254296754292 6381445131438 7854086315616 8508593508584 12762890262876 17017187017168 25525780525752 34034374034336 51051561051504 102103122103008