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10151434514120 = 2351313735751859
BaseRepresentation
bin1001001110111001000010…
…1001011110111011001000
31022221110121220222122010112
42103232100221132323020
52312310114213422440
633331301000133452
72065263003440414
oct223562051367310
938843556878115
1010151434514120
113264221154929
12117b4baa67288
1358837897bcb3
14271491217d44
151290de933965
hex93b90a5eec8

10151434514120 has 64 divisors (see below), whose sum is σ = 23016144254400. Its totient is φ = 4029391491840.

The previous prime is 10151434514099. The next prime is 10151434514131. The reversal of 10151434514120 is 2141543415101.

10151434514120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195724751 + ... + 195776609.

It is an arithmetic number, because the mean of its divisors is an integer number (359627253975).

Almost surely, 210151434514120 is an apocalyptic number.

10151434514120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10151434514120 is an abundant number, since it is smaller than the sum of its proper divisors (12864709740280).

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

10151434514120 is a wasteful number, since it uses less digits than its factorization.

10151434514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89358 (or 89354 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 10151434514120 its reverse (2141543415101), we get a palindrome (12292977929221).

The spelling of 10151434514120 in words is "ten trillion, one hundred fifty-one billion, four hundred thirty-four million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 37357 51859 74714 103718 149428 186785 207436 259295 298856 373570 414872 518590 747140 1037180 1494280 2074360 4893767 6793529 9787534 13587058 19575068 24468835 27174116 33967645 39150136 48937670 54348232 67935290 97875340 135870580 195750680 271741160 1937296663 3874593326 7749186652 9686483315 15498373304 19372966630 38745933260 77491866520 253785862853 507571725706 1015143451412 1268929314265 2030286902824 2537858628530 5075717257060 10151434514120