Search a number
-
+
21002132030 = 25111931378761
BaseRepresentation
bin10011100011110100…
…110001101000111110
32000012200012211221212
4103203310301220332
5321003021211110
613352004324422
71342311114425
oct234364615076
960180184855
1021002132030
1189a8179710
1240a16a3712
131c991b0379
14103342a2bc
1582dc1de05
hex4e3d31a3e

21002132030 has 128 divisors (see below), whose sum is σ = 46027837440. Its totient is φ = 6811776000.

The previous prime is 21002131987. The next prime is 21002132033. The reversal of 21002132030 is 3023120012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21002131996 and 21002132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002132033) 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 63 ways as a sum of consecutive naturals, for example, 2392850 + ... + 2401610.

It is an arithmetic number, because the mean of its divisors is an integer number (359592480).

Almost surely, 221002132030 is an apocalyptic number.

21002132030 is an abundant number, since it is smaller than the sum of its proper divisors (25025705410).

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

21002132030 is a wasteful number, since it uses less digits than its factorization.

21002132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21002132030 its reverse (3023120012), we get a palindrome (24025252042).

The spelling of 21002132030 in words is "twenty-one billion, two million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 5 10 11 19 22 31 37 38 55 62 74 95 110 155 185 190 209 310 341 370 407 418 589 682 703 814 1045 1147 1178 1406 1705 2035 2090 2294 2945 3410 3515 4070 5735 5890 6479 7030 7733 8761 11470 12617 12958 15466 17522 21793 25234 32395 38665 43586 43805 63085 64790 77330 87610 96371 108965 126170 166459 192742 217930 239723 271591 324157 332918 479446 481855 543182 648314 832295 963710 1198615 1357955 1620785 1664590 1831049 2397230 2715910 2987501 3241570 3565727 3662098 5160229 5975002 6158983 7131454 9155245 10048867 10320458 12317966 14937505 17828635 18310490 20097734 25801145 29875010 30794915 35657270 50244335 51602290 56762519 61589830 67748813 100488670 110537537 113525038 135497626 190928473 221075074 283812595 338744065 381856946 552687685 567625190 677488130 954642365 1105375370 1909284730 2100213203 4200426406 10501066015 21002132030