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1000000101132 = 2232294973192611
BaseRepresentation
bin11101000110101001010…
…01101001101100001100
310112121011201121120012200
432203110221221230030
5112341000011214012
62043221012401500
7132150635416614
oct16432451515414
93477151546180
101000000101132
11356108a9497a
12141982016290
13733b8302896
1436586471a44
151b02b7863dc
hexe8d4a69b0c

1000000101132 has 72 divisors (see below), whose sum is σ = 2615482200240. Its totient is φ = 321772725120.

The previous prime is 1000000101131. The next prime is 1000000101143. The reversal of 1000000101132 is 2311010000001.

It is a super-3 number, since 3×10000001011323 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000000101131) 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 23 ways as a sum of consecutive naturals, for example, 5095507 + ... + 5288117.

It is an arithmetic number, because the mean of its divisors is an integer number (36326141670).

Almost surely, 21000000101132 is an apocalyptic number.

1000000101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000000101132 is an abundant number, since it is smaller than the sum of its proper divisors (1615482099108).

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

1000000101132 is a wasteful number, since it uses less digits than its factorization.

1000000101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197623 (or 197618 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000000101132 its reverse (2311010000001), we get a palindrome (3311010101133).

The spelling of 1000000101132 in words is "one trillion, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 4973 9946 14919 19892 29838 44757 59676 89514 144217 179028 192611 288434 385222 432651 576868 577833 770444 865302 1155666 1297953 1730604 1733499 2311332 2595906 3466998 5191812 5585719 6933996 11171438 16757157 22342876 33514314 50271471 67028628 100542942 201085884 957854503 1915709006 2873563509 3831418012 5747127018 8620690527 11494254036 17241381054 27777780587 34482762108 55555561174 83333341761 111111122348 166666683522 250000025283 333333367044 500000050566 1000000101132