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10100010020210 = 25114110131197109
BaseRepresentation
bin1001001011111001011110…
…0000100110110101110010
31022202112220001201200012222
42102332113200212311302
52310434310031121320
633251514110521042
72061462443445245
oct222762740466562
938675801650188
1010100010020210
113244432393490
121171548b06182
13583571a65a86
1426cbb363b25c
15127aceeab825
hex92f97826d72

10100010020210 has 128 divisors (see below), whose sum is σ = 20527091020800. Its totient is φ = 3546039040000.

The previous prime is 10100010020171. The next prime is 10100010020263. The reversal of 10100010020210 is 1202001000101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420732136 + ... + 1420739244.

It is an arithmetic number, because the mean of its divisors is an integer number (160367898600).

Almost surely, 210100010020210 is an apocalyptic number.

10100010020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010020210 is an abundant number, since it is smaller than the sum of its proper divisors (10427081000590).

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

10100010020210 is a wasteful number, since it uses less digits than its factorization.

10100010020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100010020210 its reverse (1202001000101), we get a palindrome (11302011020311).

The spelling of 10100010020210 in words is "ten trillion, one hundred billion, ten million, twenty thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 41 55 82 101 110 202 205 410 451 505 902 1010 1111 2222 2255 3119 4141 4510 5555 6238 7109 8282 11110 14218 15595 20705 31190 34309 35545 41410 45551 68618 71090 78199 91102 127879 156398 171545 227755 255758 291469 315019 343090 390995 455510 582938 630038 639395 718009 781990 1278790 1406669 1436018 1457345 1575095 2813338 2914690 3150190 3206159 3465209 3590045 6412318 6930418 7033345 7180090 7898099 12915779 14066690 15796198 16030795 17326045 22172971 25831558 29438369 32061590 34652090 39490495 44345942 58876738 64578895 78980990 110864855 129157790 142073569 147191845 221729710 243902681 284147138 294383690 323822059 487805362 647644118 710367845 909091811 1219513405 1420735690 1619110295 1818183622 2239470071 2439026810 3238220590 4478940142 4545459055 9090918110 10000009921 11197350355 20000019842 22394700710 24634170781 49268341562 50000049605 91818272911 100000099210 123170853905 183636545822 246341707810 459091364555 918182729110 1010001002021 2020002004042 5050005010105 10100010020210