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1014552554100 = 2235237891026979
BaseRepresentation
bin11101100001110000000…
…10110110101001110100
310120222201220121202210020
432300320002312221310
5113110300423212400
62054025022125140
7133204362264321
oct16607002665164
93528656552706
101014552554100
113612a6516208
121447637207b0
13748972005b7
1437167075b48
151b5ce1442a0
hexec380b6a74

1014552554100 has 144 divisors (see below), whose sum is σ = 3048651748800. Its totient is φ = 260277304320.

The previous prime is 1014552554087. The next prime is 1014552554101. The reversal of 1014552554100 is 14552554101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014552554101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474411 + ... + 1501389.

It is an arithmetic number, because the mean of its divisors is an integer number (21171192700).

Almost surely, 21014552554100 is an apocalyptic number.

1014552554100 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 1014552554100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524325874400).

1014552554100 is an abundant number, since it is smaller than the sum of its proper divisors (2034099194700).

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

1014552554100 is a wasteful number, since it uses less digits than its factorization.

1014552554100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027122 (or 1027115 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

Subtracting from 1014552554100 its reverse (14552554101), we obtain a palindrome (999999999999).

The spelling of 1014552554100 in words is "one trillion, fourteen billion, five hundred fifty-two million, five hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 89 100 111 148 150 178 185 222 267 300 356 370 444 445 534 555 740 890 925 1068 1110 1335 1780 1850 2220 2225 2670 2775 3293 3700 4450 5340 5550 6586 6675 8900 9879 11100 13172 13350 16465 19758 26700 32930 39516 49395 65860 82325 98790 164650 197580 246975 329300 493950 987900 1026979 2053958 3080937 4107916 5134895 6161874 10269790 12323748 15404685 20539580 25674475 30809370 37998223 51348950 61618740 75996446 77023425 91401131 102697900 113994669 151992892 154046850 182802262 189991115 227989338 274203393 308093700 365604524 379982230 455978676 457005655 548406786 569973345 759964460 914011310 949955575 1096813572 1139946690 1371016965 1828022620 1899911150 2279893380 2285028275 2742033930 2849866725 3381841847 3799822300 4570056550 5484067860 5699733450 6763683694 6855084825 9140113100 10145525541 11399466900 13527367388 13710169650 16909209235 20291051082 27420339300 33818418470 40582102164 50727627705 67636836940 84546046175 101455255410 169092092350 202910510820 253638138525 338184184700 507276277050 1014552554100