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102021212000220 = 223537343313386397
BaseRepresentation
bin10111001100100110101010…
…000110011100111111011100
3111101020010120200021122020120
4113030212222012130333130
5101333003420233001340
61000551521530314540
730326534511522462
oct2714465206347734
9441203520248216
10102021212000220
112a563a53539757
12b538489588a50
1344c07361bb526
141b29bd291c832
15bbdc14b244d0
hex5cc9aa19cfdc

102021212000220 has 96 divisors (see below), whose sum is σ = 293465398433088. Its totient is φ = 26462655977472.

The previous prime is 102021212000177. The next prime is 102021212000261. The reversal of 102021212000220 is 22000212120201.

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 102021212000220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928062 + ... + 14314458.

It is an arithmetic number, because the mean of its divisors is an integer number (3056931233678).

Almost surely, 2102021212000220 is an apocalyptic number.

102021212000220 is a gapful number since it is divisible by the number (10) 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 102021212000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146732699216544).

102021212000220 is an abundant number, since it is smaller than the sum of its proper divisors (191444186432868).

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

102021212000220 is a wasteful number, since it uses less digits than its factorization.

102021212000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13389879 (or 13389877 counting only the distinct ones).

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

Adding to 102021212000220 its reverse (22000212120201), we get a palindrome (124021424120421).

The spelling of 102021212000220 in words is "one hundred two trillion, twenty-one billion, two hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 3433 6866 10299 13732 17165 20598 34330 41196 51495 68660 102990 127021 205980 254042 381063 508084 635105 762126 1270210 1524252 1905315 2540420 3810630 7621260 13386397 26772794 40159191 53545588 66931985 80318382 133863970 160636764 200795955 267727940 401591910 495296689 803183820 990593378 1485890067 1981186756 2476483445 2971780134 4952966890 5943560268 7429450335 9905933780 14858900670 29717801340 45955500901 91911001802 137866502703 183822003604 229777504505 275733005406 459555009010 551466010812 689332513515 919110018020 1378665027030 1700353533337 2757330054060 3400707066674 5101060600011 6801414133348 8501767666685 10202121200022 17003535333370 20404242400044 25505303000055 34007070666740 51010606000110 102021212000220