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10145154120 = 2335192234191
BaseRepresentation
bin10010111001011001…
…01100010001001000
3222012000220020010220
421130230230101020
5131234124412440
64354405510040
7506256246543
oct113454542110
928160806126
1010145154120
1143367474a2
121b71712320
13c58ab079a
146c354985a
153e59d18d0
hex25cb2c448

10145154120 has 96 divisors (see below), whose sum is σ = 32121774720. Its totient is φ = 2562975360.

The previous prime is 10145154119. The next prime is 10145154127. The reversal of 10145154120 is 2145154101.

It is a super-3 number, since 3×101451541203 (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10145154127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73776 + ... + 160415.

It is an arithmetic number, because the mean of its divisors is an integer number (334601820).

Almost surely, 210145154120 is an apocalyptic number.

10145154120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145154120 is an abundant number, since it is smaller than the sum of its proper divisors (21976620600).

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

10145154120 is a wasteful number, since it uses less digits than its factorization.

10145154120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234243 (or 234220 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 10145154120 in words is "ten billion, one hundred forty-five million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 2166 2280 2888 3610 4332 5415 7220 8664 10830 14440 21660 43320 234191 468382 702573 936764 1170955 1405146 1873528 2341910 2810292 3512865 4449629 4683820 5620584 7025730 8899258 9367640 13348887 14051460 17798516 22248145 26697774 28102920 35597032 44496290 53395548 66744435 84542951 88992580 106791096 133488870 169085902 177985160 253628853 266977740 338171804 422714755 507257706 533955480 676343608 845429510 1014515412 1268144265 1690859020 2029030824 2536288530 3381718040 5072577060 10145154120