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21222220010100 = 22352199738383469
BaseRepresentation
bin1001101001101001011101…
…11000101001001001110100
32210010211021000001002020020
410310310232320221021310
510240201101310310400
6113045204150405140
74320153252501324
oct464645670511164
983124230032206
1021222220010100
116842324a2a63a
1224690126607b0
13bac3291928c5
14535237837284
1526c08a65d2a0
hex134d2ee29274

21222220010100 has 144 divisors (see below), whose sum is σ = 65301029841600. Its totient is φ = 5306130616320.

The previous prime is 21222220010093. The next prime is 21222220010111. The reversal of 21222220010100 is 101002222212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21222220010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18638835 + ... + 19744634.

It is an arithmetic number, because the mean of its divisors is an integer number (453479373900).

Almost surely, 221222220010100 is an apocalyptic number.

21222220010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222220010100 is an abundant number, since it is smaller than the sum of its proper divisors (44078809831500).

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

21222220010100 is a wasteful number, since it uses less digits than its factorization.

21222220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38383602 (or 38383595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21222220010100 its reverse (101002222212), we get a palindrome (21323222232312).

The spelling of 21222220010100 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 97 100 114 150 190 194 228 285 291 300 380 388 475 485 570 582 950 970 1140 1164 1425 1455 1843 1900 1940 2425 2850 2910 3686 4850 5529 5700 5820 7275 7372 9215 9700 11058 14550 18430 22116 27645 29100 36860 46075 55290 92150 110580 138225 184300 276450 552900 38383469 76766938 115150407 153533876 191917345 230300814 383834690 460601628 575752035 729285911 767669380 959586725 1151504070 1458571822 1919173450 2187857733 2303008140 2878760175 2917143644 3646429555 3723196493 3838346900 4375715466 5757520350 7292859110 7446392986 8751430932 10939288665 11169589479 11515040700 14585718220 14892785972 18232147775 18615982465 21878577330 22339178958 36464295550 37231964930 43757154660 44678357916 54696443325 55847947395 70740733367 72928591100 74463929860 93079912325 109392886650 111695894790 141481466734 186159824650 212222200101 218785773300 223391789580 279239736975 282962933468 353703666835 372319649300 424444400202 558479473950 707407333670 848888800404 1061111000505 1116958947900 1414814667340 1768518334175 2122222001010 3537036668350 4244444002020 5305555002525 7074073336700 10611110005050 21222220010100