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32103021004040 = 2357227915868539
BaseRepresentation
bin1110100110010100100010…
…01010011100010100001000
311012200000111201201212011102
413103022101022130110020
513201433441334112130
6152135531345520532
76522236534105600
oct723122112342410
9135600451655142
1032103021004040
11a2578a6483a98
123725944943148
1314bb3c033c9bc
147cdb1a1adc00
153aa117333645
hex1d329129c508

32103021004040 has 96 divisors (see below), whose sum is σ = 84054863678400. Its totient is φ = 11002804525440.

The previous prime is 32103021003983. The next prime is 32103021004127. The reversal of 32103021004040 is 4040012030123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2536091 + ... + 8404629.

It is an arithmetic number, because the mean of its divisors is an integer number (875571496650).

Almost surely, 232103021004040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32103021004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42027431839200).

32103021004040 is an abundant number, since it is smaller than the sum of its proper divisors (51951842674360).

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

32103021004040 is a wasteful number, since it uses less digits than its factorization.

32103021004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871355 (or 5871344 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32103021004040 its reverse (4040012030123), we get a palindrome (36143033034163).

The spelling of 32103021004040 in words is "thirty-two trillion, one hundred three billion, twenty-one million, four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2791 5582 11164 13955 19537 22328 27910 39074 55820 78148 97685 111640 136759 156296 195370 273518 390740 547036 683795 781480 1094072 1367590 2735180 5470360 5868539 11737078 23474156 29342695 41079773 46948312 58685390 82159546 117370780 164319092 205398865 234741560 287558411 328638184 410797730 575116822 821595460 1150233644 1437792055 1643190920 2300467288 2875584110 5751168220 11502336440 16379092349 32758184698 65516369396 81895461745 114653646443 131032738792 163790923490 229307292886 327581846980 458614585772 573268232215 655163693960 802575525101 917229171544 1146536464430 1605151050202 2293072928860 3210302100404 4012877625505 4586145857720 6420604200808 8025755251010 16051510502020 32103021004040