Search a number
-
+
101202200020096 = 2771311575491753
BaseRepresentation
bin10111000000101011111001…
…001011101100010010000000
3111021022211120022202020110221
4113000223321023230102000
5101231044101201120341
6555123352053232424
730213421600540120
oct2700537113542200
9437284508666427
10101202200020096
112a27868063699a
12b4257b8032714
13446143246b496
141adc2d95c0c80
15ba777c6cced1
hex5c0af92ec480

101202200020096 has 128 divisors (see below), whose sum is σ = 233653483704960. Its totient is φ = 42767128535040.

The previous prime is 101202200020049. The next prime is 101202200020111. The reversal of 101202200020096 is 690020002202101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 101202200020096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15682156 + ... + 21173908.

It is an arithmetic number, because the mean of its divisors is an integer number (1825417841445).

Almost surely, 2101202200020096 is an apocalyptic number.

101202200020096 is a gapful number since it is divisible by the number (16) 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 101202200020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116826741852480).

101202200020096 is an abundant number, since it is smaller than the sum of its proper divisors (132451283684864).

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

101202200020096 is a wasteful number, since it uses less digits than its factorization.

101202200020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5492062 (or 5492050 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 101202200020096 its reverse (690020002202101), we get a palindrome (791222202222197).

The spelling of 101202200020096 in words is "one hundred one trillion, two hundred two billion, two hundred million, twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 157 224 262 314 448 524 628 896 917 1048 1099 1256 1834 2096 2198 2512 3668 4192 4396 5024 7336 8384 8792 10048 14672 16768 17584 20096 20567 29344 35168 41134 58688 70336 82268 117376 140672 143969 164536 287938 329072 575876 658144 1151752 1316288 2303504 2632576 4607008 5491753 9214016 10983506 18428032 21967012 38442271 43934024 76884542 87868048 153769084 175736096 307538168 351472192 615076336 702944384 719419643 862205221 1230152672 1438839286 1724410442 2460305344 2877678572 3448820884 4920610688 5035937501 5755357144 6035436547 6897641768 10071875002 11510714288 12070873094 13795283536 20143750004 23021428576 24141746188 27590567072 40287500008 46042857152 48283492376 55181134144 80575000016 92085714304 96566984752 110362268288 112948883951 161150000032 193133969504 225897767902 322300000064 386267939008 451795535804 644600000128 772535878016 790642187657 903591071608 1581284375314 1807182143216 3162568750628 3614364286432 6325137501256 7228728572864 12650275002512 14457457145728 25300550005024 50601100010048 101202200020096