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1145042155100 = 2252971093473121
BaseRepresentation
bin10000101010011001110…
…101001011011001011100
311001110112221211022201102
4100222121311023121130
5122230021242430400
62234005231132232
7145504132504664
oct20523165133134
94043487738642
101145042155100
11401678499868
12165b00374078
1383c91658b5c
143d5c558b1a4
151ebb9e699d5
hex10a99d4b65c

1145042155100 has 144 divisors (see below), whose sum is σ = 2541503062560. Its totient is φ = 447698534400.

The previous prime is 1145042155097. The next prime is 1145042155109. The reversal of 1145042155100 is 15512405411.

It is a super-2 number, since 2×11450421551002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145042155109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366881540 + ... + 366884660.

Almost surely, 21145042155100 is an apocalyptic number.

1145042155100 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 1145042155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270751531280).

1145042155100 is an abundant number, since it is smaller than the sum of its proper divisors (1396460907460).

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

1145042155100 is a wasteful number, since it uses less digits than its factorization.

1145042155100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 1145042155100 in words is "one trillion, one hundred forty-five billion, forty-two million, one hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 109 194 218 347 388 436 485 545 694 970 1090 1388 1735 1940 2180 2425 2725 3121 3470 4850 5450 6242 6940 8675 9700 10573 10900 12484 15605 17350 21146 31210 33659 34700 37823 42292 52865 62420 67318 75646 78025 105730 134636 151292 156050 168295 189115 211460 264325 302737 312100 336590 340189 378230 528650 605474 673180 680378 756460 841475 945575 1057300 1082987 1210948 1360756 1513685 1682950 1700945 1891150 2165974 3027370 3365900 3401890 3668831 3782300 4331948 5414935 6054740 6803780 7337662 7568425 8504725 10829870 14675324 15136850 17009450 18344155 21659740 27074675 30273700 32998333 34018900 36688310 54149350 65996666 73376620 91720775 105049739 108298700 118045583 131993332 164991665 183441550 210099478 236091166 329983330 366883100 420198956 472182332 525248695 590227915 659966660 824958325 1050497390 1180455830 1649916650 2100994780 2360911660 2626243475 2951139575 3299833300 5252486950 5902279150 10504973900 11450421551 11804558300 22900843102 45801686204 57252107755 114504215510 229008431020 286260538775 572521077550 1145042155100