Search a number
-
+
101202021011120 = 24519280123770181
BaseRepresentation
bin10111000000101011101110…
…100000110100111010110000
3111021022211002211220122022212
4113000223232200310322300
5101231043214334323440
6555123322220351252
730213414265150061
oct2700535640647260
9437284084818285
10101202021011120
112a278599590897
12b4257680a5528
134461404353703
141adc2bd904568
15ba776bb1d465
hex5c0aee834eb0

101202021011120 has 80 divisors (see below), whose sum is σ = 247767065866080. Its totient is φ = 38336546304000.

The previous prime is 101202021011107. The next prime is 101202021011149. The reversal of 101202021011120 is 21110120202101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101202021011095 and 101202021011104.

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, 7627571 + ... + 16142610.

It is an arithmetic number, because the mean of its divisors is an integer number (3097088323326).

Almost surely, 2101202021011120 is an apocalyptic number.

101202021011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202021011120 is an abundant number, since it is smaller than the sum of its proper divisors (146565044854960).

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

101202021011120 is a wasteful number, since it uses less digits than its factorization.

101202021011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23773014 (or 23773008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101202021011120 its reverse (21110120202101), we get a palindrome (122312141213221).

The spelling of 101202021011120 in words is "one hundred one trillion, two hundred two billion, twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2801 5602 11204 14005 22408 28010 44816 53219 56020 106438 112040 212876 224080 266095 425752 532190 851504 1064380 2128760 4257520 23770181 47540362 95080724 118850905 190161448 237701810 380322896 451633439 475403620 903266878 950807240 1806533756 1901614480 2258167195 3613067512 4516334390 7226135024 9032668780 18065337560 36130675120 66580276981 133160553962 266321107924 332901384905 532642215848 665802769810 1065284431696 1265025262639 1331605539620 2530050525278 2663211079240 5060101050556 5326422158480 6325126313195 10120202101112 12650252626390 20240404202224 25300505252780 50601010505560 101202021011120