Search a number
-
+
101405150442552 = 233111301295242443
BaseRepresentation
bin10111000011101000111001…
…111110000111010000111000
3111022001020102021202220201010
4113003220321332013100320
5101242410222003130202
6555400514421153520
730234165105631635
oct2703507176072070
9438036367686633
10101405150442552
112a346756886160
12b458bb785b8a0
134477606b03b58
141b0806d48118c
15bacba9ba176c
hex5c3a39f87438

101405150442552 has 64 divisors (see below), whose sum is σ = 276772076703360. Its totient is φ = 30705213968000.

The previous prime is 101405150442551. The next prime is 101405150442593. The reversal of 101405150442552 is 255244051504101.

It is a self number, because there is not a number n which added to its sum of digits gives 101405150442552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101405150442551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147277758 + ... + 147964685.

It is an arithmetic number, because the mean of its divisors is an integer number (4324563698490).

Almost surely, 2101405150442552 is an apocalyptic number.

101405150442552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101405150442552 is an abundant number, since it is smaller than the sum of its proper divisors (175366926260808).

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

101405150442552 is a wasteful number, since it uses less digits than its factorization.

101405150442552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295243764 (or 295243760 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 39.

The spelling of 101405150442552 in words is "one hundred one trillion, four hundred five billion, one hundred fifty million, four hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1301 2602 3903 5204 7806 10408 14311 15612 28622 31224 42933 57244 85866 114488 171732 343464 295242443 590484886 885727329 1180969772 1771454658 2361939544 3247666873 3542909316 6495333746 7085818632 9743000619 12990667492 19486001238 25981334984 38972002476 77944004952 384110418343 768220836686 1152331255029 1536441673372 2304662510058 3072883346744 4225214601773 4609325020116 8450429203546 9218650040232 12675643805319 16900858407092 25351287610638 33801716814184 50702575221276 101405150442552