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100001133232 = 247111348712821
BaseRepresentation
bin101110100100010001…
…0000011001010110000
3100120010020202220202021
41131020202003022300
53114300242230412
6113535003201224
710140056415250
oct1351042031260
9316106686667
10100001133232
113945703a560
121746a216214
139578b184b0
144ba9277960
1529043b0607
hex17488832b0

100001133232 has 160 divisors (see below), whose sum is σ = 260697314304. Its totient is φ = 35887795200.

The previous prime is 100001133157. The next prime is 100001133233. The reversal of 100001133232 is 232331100001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100001133233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7793382 + ... + 7806202.

Almost surely, 2100001133232 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 100001133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130348657152).

100001133232 is an abundant number, since it is smaller than the sum of its proper divisors (160696181072).

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

100001133232 is a wasteful number, since it uses less digits than its factorization.

100001133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100001133232 its reverse (232331100001), we get a palindrome (332332233233).

The spelling of 100001133232 in words is "one hundred billion, one million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 487 572 616 728 974 1001 1144 1232 1456 1948 2002 2288 3409 3896 4004 5357 6331 6818 7792 8008 10714 12662 12821 13636 16016 21428 25324 25642 27272 37499 42856 44317 50648 51284 54544 69641 74998 85712 88634 89747 101296 102568 139282 141031 149996 166673 177268 179494 205136 278564 282062 299992 333346 354536 358988 487487 557128 564124 599984 666692 709072 717976 974974 987217 1114256 1128248 1166711 1333384 1435952 1833403 1949948 1974434 2256496 2333422 2666768 3666806 3899896 3948868 4666844 6243827 7333612 7799792 7897736 9333688 12487654 12833821 14667224 15795472 18667376 24975308 25667642 29334448 43706789 49950616 51335284 68682097 81169751 87413578 99901232 102670568 137364194 162339502 174827156 205341136 274728388 324679004 349654312 480774679 549456776 568188257 649358008 699308624 892867261 961549358 1098913552 1136376514 1298716016 1785734522 1923098716 2272753028 3571469044 3846197432 4545506056 6250070827 7142938088 7692394864 9091012112 12500141654 14285876176 25000283308 50000566616 100001133232