Search a number
-
+
102032200011210 = 23573740932106497
BaseRepresentation
bin10111001100110000111001…
…000010011000110111001010
3111101021011221110011102122120
4113030300321002120313022
5101333143421200324320
61001000540125432110
730330404014213110
oct2714607102306712
9441234843142576
10102032200011210
112a568681a28a77
12b53a63540b636
1344c17977a8b91
141b2a555d8bab0
15bbe1595e6440
hex5ccc39098dca

102032200011210 has 128 divisors (see below), whose sum is σ = 288126281571840. Its totient is φ = 22635850235904.

The previous prime is 102032200011179. The next prime is 102032200011223. The reversal of 102032200011210 is 12110002230201.

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 102032200011210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12875319 + ... + 19231178.

It is an arithmetic number, because the mean of its divisors is an integer number (2250986574780).

Almost surely, 2102032200011210 is an apocalyptic number.

102032200011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102032200011210 is an abundant number, since it is smaller than the sum of its proper divisors (186094081560630).

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

102032200011210 is a wasteful number, since it uses less digits than its factorization.

102032200011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32106960.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102032200011210 its reverse (12110002230201), we get a palindrome (114142202241411).

The spelling of 102032200011210 in words is "one hundred two trillion, thirty-two billion, two hundred million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 409 518 555 777 818 1110 1227 1295 1554 2045 2454 2590 2863 3885 4090 5726 6135 7770 8589 12270 14315 15133 17178 28630 30266 42945 45399 75665 85890 90798 105931 151330 211862 226995 317793 453990 529655 635586 1059310 1588965 3177930 32106497 64212994 96319491 160532485 192638982 224745479 321064970 449490958 481597455 674236437 963194910 1123727395 1187940389 1348472874 2247454790 2375880778 3371182185 3563821167 5939701945 6742364370 7127642334 8315582723 11879403890 13131557273 16631165446 17819105835 24946748169 26263114546 35638211670 39394671819 41577913615 49893496338 65657786365 78789343638 83155827230 91920900911 124733740845 131315572730 183841801822 196973359095 249467481690 275762702733 393946718190 459604504555 485867619101 551525405466 919209009110 971735238202 1378813513665 1457602857303 2429338095505 2757627027330 2915205714606 3401073333707 4858676191010 6802146667414 7288014286515 10203220001121 14576028573030 17005366668535 20406440002242 34010733337070 51016100005605 102032200011210