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101033424242040 = 23352971408909763
BaseRepresentation
bin10110111110001110101101…
…010111001100010101111000
3111020201200221001100101011010
4112332032231113030111320
5101220312423101221130
6554514040410433520
730165265303232133
oct2676165527142570
9436650831311133
10101033424242040
112a2130420598a4
12b3b8b554328a0
13444b5460398a4
141ad408838121a
15ba31a05a50b0
hex5be3ad5cc578

101033424242040 has 128 divisors (see below), whose sum is σ = 317968232486400. Its totient is φ = 25646820272640.

The previous prime is 101033424242039. The next prime is 101033424242071. The reversal of 101033424242040 is 40242424330101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101033424241989 and 101033424242007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204207802 + ... + 204701961.

It is an arithmetic number, because the mean of its divisors is an integer number (2484126816300).

Almost surely, 2101033424242040 is an apocalyptic number.

101033424242040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101033424242040 is an abundant number, since it is smaller than the sum of its proper divisors (216934808244360).

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

101033424242040 is a wasteful number, since it uses less digits than its factorization.

101033424242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408909877 (or 408909873 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 101033424242040 its reverse (40242424330101), we get a palindrome (141275848572141).

The spelling of 101033424242040 in words is "one hundred one trillion, thirty-three billion, four hundred twenty-four million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 71 87 116 120 142 145 174 213 232 284 290 348 355 426 435 568 580 696 710 852 870 1065 1160 1420 1704 1740 2059 2130 2840 3480 4118 4260 6177 8236 8520 10295 12354 16472 20590 24708 30885 41180 49416 61770 82360 123540 247080 408909763 817819526 1226729289 1635639052 2044548815 2453458578 3271278104 4089097630 4906917156 6133646445 8178195260 9813834312 11858383127 12267292890 16356390520 23716766254 24534585780 29032593173 35575149381 47433532508 49069171560 58065186346 59291915635 71150298762 87097779519 94867065016 116130372692 118583831270 142300597524 145162965865 174195559038 177875746905 232260745384 237167662540 284601195048 290325931730 348391118076 355751493810 435488897595 474335325080 580651863460 696782236152 711502987620 841945202017 870977795190 1161303726920 1423005975240 1683890404034 1741955590380 2525835606051 3367780808068 3483911180760 4209726010085 5051671212102 6735561616136 8419452020170 10103342424204 12629178030255 16838904040340 20206684848408 25258356060510 33677808080680 50516712121020 101033424242040