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21012220022100 = 22352319901228197
BaseRepresentation
bin1001100011100010010011…
…11010010000110101010100
32202101202012202000101001220
410301301021322100311110
510223231011311201400
6112404514114050340
74266040254162336
oct461611172206524
982352182011056
1021012220022100
11677126146244a
122434385b799b0
13b955a018b888
14528dd55d7456
1526689932e7a0
hex131c49e90d54

21012220022100 has 144 divisors (see below), whose sum is σ = 62763110570496. Its totient is φ = 5421936960000.

The previous prime is 21012220022033. The next prime is 21012220022147. The reversal of 21012220022100 is 122002221012.

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 21012220022100.

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, 91965202 + ... + 92193398.

Almost surely, 221012220022100 is an apocalyptic number.

21012220022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012220022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31381555285248).

21012220022100 is an abundant number, since it is smaller than the sum of its proper divisors (41750890548396).

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

21012220022100 is a wasteful number, since it uses less digits than its factorization.

21012220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238146 (or 238139 counting only the distinct ones).

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

Adding to 21012220022100 its reverse (122002221012), we get a palindrome (21134222243112).

The spelling of 21012220022100 in words is "twenty-one trillion, twelve billion, two hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 9901 19802 29703 39604 49505 59406 99010 118812 148515 198020 228197 247525 297030 306931 456394 495050 594060 613862 684591 742575 912788 920793 990100 1140985 1227724 1369182 1485150 1534655 1841586 2281970 2738364 2970300 3069310 3422955 3683172 4563940 4603965 5704925 6138620 6845910 7074107 7673275 9207930 11409850 13691820 14148214 15346550 17114775 18415860 21222321 22819700 23019825 28296428 30693100 34229550 35370535 42444642 46039650 68459100 70741070 84889284 92079300 106111605 141482140 176852675 212223210 353705350 424446420 530558025 707410700 1061116050 2122232100 2259378497 4518756994 6778135491 9037513988 11296892485 13556270982 22593784970 27112541964 33890677455 45187569940 56484462425 67781354910 70040733407 112968924850 135562709820 140081466814 169453387275 210122200221 225937849700 280162933628 338906774550 350203667035 420244400442 677813549100 700407334070 840488800884 1050611001105 1400814668140 1751018335175 2101222002210 3502036670350 4202444004420 5253055005525 7004073340700 10506110011050 21012220022100